Preprints
1.O. Yu. Aristov., Envelopes in the class of Banach algebras of polynomial growth and C∞-functions of a finite number of free variables, Submitted.
2.O. Yu. Aristov., The Arens–Michael envelope of a solvable Lie algebra is a homological epimorphism ,Submitted.
3.Guixiang Hong(with S. Wang, W. Wang), Pointiwse convergence of noncommutative Fourier series, Mem. Amer. Math. Soc., in press.
4.Guixiang Hong(with X. Lai, S. Ray and B. Xu), Noncommutative maximal strong Lp estimates of Calderon-Zygmund operators, Isarel J. Math., in press.
5.Guixiang Hong(with Y. Jing)，Campanato spaces via quantum Markov semigroups on finite von Neumann algebras , Int. Math. Res. Notes.，to appear.
6.Jinghao Huang(with Marius Junge, Fedor Sukochev, Dmitriy Zanin.), Embedding of symmetric operator spaces into $L_p$-spaces, $1\le p<2$, on finite von Neumann algebras, Israel Journal of Mathematics, to appear.
7.Keping Huang(with Jason Bell, Keping Huang, Wayne Peng, Thomas W. Tucker), A Tits alternative for endomorphisms of the projective line. J. Eur. Math. Soc., to appear.
8.Xudong Lai, Sharp estimates of noncommutative Bochner-Riesz means on two-dimensional quantum tori, Comm. Math. Phys., to appear.
9.Ke Li(with Yao, Yongsheng), Reliable simulation of quantum channels: the error exponent, IEEE Tran. Inf. Theory, to appear.
10.Chunhui Liu, Control of the non-geometrically integral reductions, Int. J. Number Theory, to appear.
11.Chunhui Liu, Fibres non réduites d'un schéma arithmétique, Math. Z., to appear.
12.Chunhui Liu, Counting multiplicities in a hypersurface over finite field, Kyoto J. Math, to appear.
13.Zhenan Sui(with W. Sun), Lipschitz Continuous Hypersurfaces with Prescribed Curvature and Asymptotic Boundary in Hyperbolic Space, Int. Math. Res. Not. IMRN, to appear.
14.Zhituo Wang, Phase Transitions in Square Hubbard Model, to appear.
Publication
2024
1.O. Yu. Aristov，On density of polynomials in algebra of holomorphic functions of exponential type on linear Lie group，Ufa Math. J.16(2024), no. 2, 76–80.
2.O. Yu. Aristov, Holomorphically finitely generated Hopf algebras and quantum Lie groups，Mosc. Math. J.24(2024), no. 2, 145–180.
3.O. Yu. Aristov., Decomposition of the algebra of analytic functionals on a connected complex Lie group and its completions into iterated analytic smash products, Algebra i Analiz, 36:4 (2024), 1–37.
4.Mengyao Ding（with Zhang, Chao），A new unified method for boundary Hölder continuity of parabolic equations，J. Geom. Anal.34(2024), no. 6, Paper No. 179, 39 pp.
5.Mengyao Ding （with Zhang, Chao and Fang, Yuzhou），Local behavior of the mixed local and nonlocal problems with nonstandard growth，J. Lond. Math. Soc. (2)109(2024), no. 6, Paper No. e12947, 34 pp.
6.Mengyao Ding （with Michael Winkler），Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture，Nonlinearity 37（2024），125006，34pp.
7.Haosui Duanmu (with Anderson, Robert M.; Ghosh, Aniruddha; Khan, M. Ali)，On existence of Berk-Nash equilibria in misspecified Markov decision processes with infinite spaces，J. Econom. Theory217(2024), Paper No. 105813, 30 pp.
8.Haosui Duanmu(with Anderson, Robert M.;Smith, Aaron)，Mixing times and hitting times for general Markov processes，Israel J. Math.259(2024), no. 2, 759–834.
9.Jian Fang (with Xu, Ming)，Optimal dispersal strategy for a stage-structured population model in discrete periodic habitat，J. Differential Equations399(2024), 363–390.
10.Jian Fang（with Pan, Yingli;Aye, Thazin），On a population model in discrete periodic habitat. II. Bistable pulsating waves and propagation direction，J. Nonlinear Sci.34(2024), no. 4, Paper No. 64, 39 pp.
11.Guixiang Hong(with Ma, Congbian; Wang, Yu)，John-Nirenberg inequalities for noncommutative column BMO and Lipschitz martingales，Comm. Math. Phys.405(2024), no. 3, Paper No. 66, 28 pp.
12.Guixiang Hong(with Liu,Wei;Xu,Bang)，Quantitative mean ergodic inequalities:power bounded operators acting on one single noncommutative Lp space，J. Funct. Anal.286(2024), no. 1, Paper No. 110190, 37 pp.
13.Guixiang Hong (with E. Ricard), Failure of almost uniforma convergence for noncommutative martingales，Probab. Theo. Rela. Fields,( 2024).
14.Guixiang Hong (with A. Chattopadhyay, C. Pradhan and S. Ray),On isometric embeddability of Sq into Sp as non-commutative quasi-Banach spaces ,Proc. A Royal Soc. Edinburgh, 154 (2024), 1180-1203.
15.Qianqian Hou，Chemical diffusion limit of a chemotaxis-Navier-Stokes system，Appl. Anal.103(2024), no. 1, 198–210.
16.Qianqian Hou，Boundary layer problem on the chemotaxis model with Robin boundary conditions，Discrete Contin. Dyn. Syst.44(2024), no. 2, 378–424.
17.Yining Hu，Algebraic automatic continued fractions in characteristic 2，Int. Math. Res. Not. IMRN(2024), no. 9, 7255–7280.
18.Yining Hu (with Li, Shuo;Abram, Antoine)，Block-counting sequences are not purely morphic，Adv. in Appl. Math.155(2024), Paper No. 102673, 13 pp.
19.Jinghao Huang（with Sukochev, Fedor），Hermitian operators and isometries on symmetric operator spaces，J. Eur. Math. Soc. (JEMS)26(2024), no. 9, 3287–3325.
20.Jinghao Huang， Kudaybergenov, Karimbergen (with Ayupov, Shavkat)，Schur inequality for Murray–von Neumann algebras and its applications，Ann. Funct. Anal.15(2024), no. 3, Paper No. 47, 24 pp.
21.Jinghao Huang，Kudaybergenov, Karimbergen （with Liu, Rui), The ball-covering property of noncommutative symmetric spaces, Studia Math. 277 (2024), no. 2, 169–190.
22.Jinghao Huang（with Ber, Aleksey; Sukochev, Fedor)， Linear isometries of noncommutative L0-spaces, Bull. Lond. Math. Soc. 56 (2024), no. 6, 2075–2092.
23.Jinghao Huang（with Nessipbayev, Yerlan; Pliev, Marat; Sukochev, Fedor），Gelfand--Phillips and Dunford--Pettis type properties in bimodules of measurable operators, Transactions of the American Mathematical Society, 377 (9) (2024), Pages 6097--6149.
24.Jinghao Huang（with Sukochev, Fedor），Derivations with values into bimodules of τ-measurable operators，Proc. Sympos. Pure Math., 106American Mathematical Society, Providence, RI, 2024, 167–188.
25.K. K. Kudaybergenov, B. A. Omirov（with T. K. Kurbanbaev）， Local automorphisms of complex solvable Lie algebras of maximal rank, Linear and Multilinear Algebra, 72:13 (2024), 2197-2220
26.Xudong Lai，Noncommutative maximal operators with rough kernels,Anal. PDE17(2024), no. 4, 1439–1471.
27.Jiange Li(with Feldheim, Ohad Noy; Gurel-Gurevich, Ori)，Long-term balanced allocation via thinning，Ann. Appl. Probab.34(2024), no. 1A, 795–850.
28.Ke Li（with Yao, Yongsheng），Strong converse exponent for entanglement-assisted communication，IEEE Trans. Inform. Theory70(2024), no. 7, 5017–5029.
29.Ke Li（with Yao, Yongsheng），Reliability function of quantum information decoupling via the sandwiched Rényi divergence，Comm. Math. Phys.405(2024), no. 7, Paper No. 160, 29 pp.
30.Ke Li（with Yao, Yongsheng），Operational interpretation of the sandwiched Rényi divergence of order 1/2 to 1 as strong converse exponents，Comm. Math. Phys.405(2024), no. 2, Paper No. 22, 44 pp.
31.B. A.Omirov, （with Rakhimov, I. S.; Solijanova, G. O.），The description of solvable Lie superalgebras of maximal rank，Linear Algebra Appl.695(2024), 136–162.
32.Zhenan Sui，On fully nonlinear Loewner-Nirenberg problem of Ricci curvature，J. Funct. Anal.286(2024), no. 9, Paper No. 110379, 53 pp.
33.Yisheng Tian，A comparison of cohomological obstructions to the Hasse principle and to weak approximation，C. R. Math. Acad. Sci. Paris362(2024), 257–264.
34.Huan Xiong (with Liu, Yanjun; Willems, Wolfgang)，A generalization of Murai's conjecture，Osaka J. Math.61(2024), no. 1, 107–119.
35.Huan Xiong(with Sha, Yetong)，Proof of a conjecture of Nath and Sellers on simultaneous core partitions,Electron. J. Combin.31(2024), no. 2, Paper No. 2.8, 37 pp.
36.Xiao Xiong（with Li, Ji;Yang, Fulin），Schatten properties of Calderón-Zygmund singular integral commutator on stratified Lie groups，J. Math. Pures Appl. (9)188(2024), 73–113.
37.Quanhua Xu, Holomorphic functional calculus and vector-valued Littlewood-Paley-Stein theory for semigroups. J. Eur. Math. Soc. (2024), DOI 10.4171/JEMS/1430.
38.Quanhua Xu(with Z. Chen and N. Randrianantoanina), Atomic decompositions for noncommutative martingales. Journal of Functional Analysis, 284 (2023), no. 9, 109877.
39.Yujia Zhai（with Bakas, Odysseas; Xu, Zhendong; Zhang, Hao）,Multiplication between elements in martingale Hardy spaces and their dual spaces,J. Funct. Anal.287(2024), no. 2, Paper No. 110467, 62 pp.
40.Chaoen Zhang，Hypocoercivity and global hypoellipticity for the kinetic Fokker-Planck equation in Hk spaces，Kinet. Relat. Models17(2024), no. 3, 394–435.
41.Heer Zhao(With Jean Gillibert)，Tame stacks and log flat torsors , Algebraic Geometry,11 (6) (2024) ，830--848.
2023
1. O. Yu. Aristov, Banach space representations of Drinfeld–Jimbo algebras and their complex-analytic forms, Illinois J. Math., 67:2 (2023), 363-382 .
2.O. Yu. Aristov, Length functions exponentially distorted on subgroups of complex Lie groups, European Journal of Mathematics, 9 (2023), 60.
3.Haosui Duanmu(with Daniel Roy, Aaron Smith), Existence of matching priors on compact spaces, Biometrika，110（2023),no.3,763-776.
4.Haosui Duanmu(with David Schrittesser, William Weiss), Loeb extension and Loeb equivalence, Fundamenta Mathematicae.262(2023),no.1,71-83
5.Guixiang Hong(with X. Lai and L. Wang), Fourier restriction on quantum Euclidean spaces, Adv. Math., 430 (2023) 109232.
6.Guixiang Hong(with S. Ray and S. Wang), Maximal ergodic inequalities for some positive operators on noncommutative Lp-spaces, J. London. Math. Soc., 108 (2023), no. 1, 362-408.
7.Guixiang Hong(with X. Lai and B. Xu), Maximal singular integral operators acting on noncommutative Lp-spaces, Math. Ann. 386 (2023), no. 1-2, 375–414.
8.Guixiang Hong(with W. Wang and X. Wu), Wavelet Characterizations of Operator-Valued Hardy Spaces, Int. Math. Res. Notes, 2023 (2023), 13978-14005.
9.Guixiang Hong(with Chattopadhyay, C. Pradhan and S. Ray), On isometric embeddability of Sq into Sp as non-commutative quasi-Banach spaces, Proc. A Royal Soc. Edinburgh, doi:10.1017/prm.2023.54, 1-24.
10.Guixiang Hong(with Y. Chen, G. Hong, J. Li), Quantitative weighted bounds for the q-variation of singular integrals with rough kernels, J. Four. Anal. Appl. (2023) 29:31.
11.Guixiang Hong(with Y. Chen), The L2-Boundedness of the Variational Calderón–Zygmund Operators, J. Geom. Anal. (2023) 33:73.
12.Yining Hu, On the union-closed sets conjecture. Discrete Math. 346, No. 8, (2023).
13.Yining Hu, On a family of 2-automatic sequences generating algebraic continued fractions in characteristic 2.Finite Fields Appl. 88, (2023).
14.Jinghao Huang(with Pliev, Marat; Sukochev, Fedor (Strongly-), Dunford-Pettis operators and narrow operators. Integral Equations Operator Theory 95 (2023), no. 4, Paper No. 22, 21 pp.
15.Jinghao Huang(with Ber, A.; Sukochev, F.), Norms of skew-adjoint derivations with values in the predual of a semifinite von Neumann algebra. J. Funct. Anal. 285 (2023), no. 8, Paper No. 110072, 23 pp.
16.Jinghao Huang(with Fedor Sukochev.) , Derivations with values in noncommutative symmetric spaces，Comptes Rendus Mathématique 361 (2023) , 1357-1365.
17.Jinghao Huang(with Marat Pliev, Fedor Sukochev.), A noncommutative Gretsky--Ostroy Theorem and application, Proceedings of the American Mathematical Society, 151 (2023), no. 3, 1147-1155.
18.Jinghao Huang(with Ber, Aleksey; Huang, Jinghao; Kudaybergenov, Karimbergen; Sukochev, Fedor), Non-existence of translation-invariant derivations on algebras of measurable functions. Quaest. Math. 46 (2023), no. 5, 909–926.
19.Jinghao Huang(with Kudaybergenov, Karimbergen; Sukochev, Fedor), Ring derivations of Murray–von Neumann algebras. Linear Algebra Appl. 672 (2023), 28–52.
20.Jinghao Huang(with Nonna Dzhusoeva, Jinghao Huang, Marat Pliev, Fedor Sukochev), Lateral order on complex vector lattices and narrow operators, Mathematische Nachrichten，Volume 296, Issue 11 （2023), 5157-5170
21.Jinghao Huang(with Astashkin, Sergey; Pliev, Marat; Sukochev, Fedor; Zanin, Dmitriy), Optimal range of Haar martingale transforms and its applications, International Mathematics Research Notices, Int. Math. Res. Not. IMRN（ 2023）, no. 24, 20827–20854.
22.Xudong Lai(with Guixiang Hong, Liang Wang.), Fourier restriction estimates on quantum Euclidean spaces, Adv. Math. 430 (2023) 109232.
23.Xudong Lai, Weak type (1,1) behavior for the Littlewood-Paley g-function, Colloq. Math., 171 (2023), no. 2, 285-302.
24.Xudong Lai(with Guixiang Hong, Bang Xu.), Maximal singular integral operators acting on noncommutative Lp-spaces, Math. Ann. 386 (2023), no. 1-2, 375-414.
25.Ke Li(with Yongsheng Yao, Masahito Hayashi), Tight Exponential Analysis for Smoothing the Max-Relative Entropy and for Quantum Privacy Amplification. IEEE Trans. Inf. Theory. 69 (3) (2023), 1680-1694.
26.Guodong Wang(with Zuo Bijun.), Location of concentrated vortices in planar steady Euler flows. Commun. Math. Sci. 21 (2023), no. 2, 517–527.
27.Guodong Wang, Stability of 2D Steady Euler flows related to least energy solutions of the Lane-Emden equation. J. Differential Equations, 342 (2023), 596–621.
28.Jun Wang(with Emmanuel Lecouturier), Level compatibility in Sharifi’s conjecture，Canadian Mathematical Bulletin , Volume 66 , Issue 4 , December 2023 , pp. 1194 - 1212
29.Simeng Wang(with Guixiang Hong, Samya Kumar Ray), Maximal ergodic inequalities for some positive operators on noncommutative Lp-spaces. J. Lond. Math. Soc., 108 (2023), 362-408.
30.Simeng Wang(with Yan Pautra), Ke Li's lemma for quantum hypothesis testing in general von Neumann algebras. Ann. Henri Poincaré, 24 (2023), 2323-2339.
31.Simeng Wang(with Amaury Freslon, Frank Taipe), Tannaka-Krein reconstruction and ergodic actions of easy quantum groups. Comm. Math. Phys. 399 (2023), 105-172.
32.Simeng Wang(with Panchugopal Bikram, Kunal Mukherjee, Eric Ricard), On the factoriality of q-deformed Araki-Woods von Neumann algebras. Comm. Math. Phys., 398 (2023), 797-821.
33.Zhituo Wang(with Vincent Rivasseau), Honeycomb Hubbard Model at van Hove Filling,Communications in Mathematical physics期卷 401, pages 2569–2642 (2023).
34.Huan Xiong(with Zhicong Lin, Sherry H.F. Yan.), Combinatorics of Integer Partitions with Prescribed Perimeter. Journal of Combinatorial Theory, Series A, 197, 105747, 2023.
35.Huan Xiong(with H Chen, YG Wang), Lower and upper bounds for numbers of linear regions of graph convolutional networks, Neural Networks 168, 394-404, 2023.
36.Huan Xiong(with H Jiang, S Anumasa, G De Masi, B Gu), A unified optimization framework of ANN-SNN conversion: towards optimal mapping from activation values to firing rates, International Conference on Machine Learning, 14945-14974, 2023. (ICML)
2022
1.Haosui Duanmu(with Robert M. Anderson, M. A. Khan, M. Uyanik.), On abstract economies with an arbitrary set of players and action sets in locally-convex topological vector spaces. Journal of Mathematical Economics, 98 (2022) 102581.
2.Jinghao Huang(with Olga Sadovskaya, Fedor Sukochev.), On Arazy's problem concerning isomorphic embeddings of ideals of compact operators, Advances in Mathematics, 406 (2022), 108530.
3.Jinghao Huang(with Marat Pliev, Fedor Sukochev.), On Narrow Operators from \(L_p\) into Operator Ideals, Mediterranean Journal of Mathematics, 19, Article number: 208 (2022).
4.Xudong Lai, Noncommutative maximal operators with rough kernels, Analysis & PDE. 2022.
5.Xudong Lai, On vector-valued singular integral operators with rough kernels, Math. Nachr. 2022.
6.Xudong Lai, Sharp estimates of noncommutative Bochner-Riesz means on two-dimensional quantum tori. Comm. Math. Phys. 390 (2022), no. 1, 193-230.
7.Guodong Wang(with Cao Daomin, Wan Jie, Zhan Weicheng.), Asymptotic behaviour of global vortex rings. Nonlinearity 35 (2022), no. 7, 3680–3705.
8.Guodong Wang(with Zuo Bijun.), Global existence of weak solutions to the compressible Navier-Stokes equations with temperature-depending viscosity coefficients. SIAM J. Math. Anal. 54 (2022), no. 3, 3724–3756.
9.Guodong Wang, Nonlinear stability of planar steady Euler flows associated with semistable solutions of elliptic problems. Trans. Amer. Math. Soc. 375 (2022), no. 7, 5071–5095.
10.Guodong Wang(with Zuo Bijun.), Energy equality for weak solutions to the 3D magnetohydrodynamic equations in a bounded domain. Discrete Contin. Dyn. Syst. Ser. B 27 (2022), no. 2, 1001–1027.
11.Simeng Wang(with Amaury Freslon, Lucas Teyssier), Cutoff profiles for quantum Lévy processes and quantum random transpositions. Probab. Theory Related Fields, 183 (2022), no. 3-4, 1285-1327.
12.Huan Xiong(with Rui Gao, Jun Liao, Heguo Liu, Xingzhong Xu.), A Note on Systems of Equations of Power Sums. Mathematical Notes, 111(5-6), 855-869, 2022.
13.Quanhua Xu, Optimal orders of the best constants in the Littlewood-Paley inequalities. Journal of Functional Analysis. 283(6), 109570, 2022.
14.Quanhua Xu(with T. Mei and E. Ricard), A Hörmander-Mikhlin multiplier theory for free groups and amalgamated free products of von Neumann algebras. Adv. Math. 403 (2022), Paper No. 108394, 32 pp.
2021
1.Yan Cui, Estimation and inference of time-varying auto-covariance under complex trend: A difference-based approach, Electronic Journal of Statistics, 15 (2021), 4264-4294.
2.Heming Jiao (with J. Chu), Curvature estimates for a class of Hessian type equations, Calc. Var. Partial Differential Equations,
60 (2021), No. 90 .
3.Qianqian Hou (with T. C. Lin and Z. Wang), On a singularly perturbed semi-linear problem with robin boundary conditions, Discrete Contin. Dyn. Syst. Ser. B, 26 (2021), The special issue 20 years of DCDS-B''.
4.Xudong Lai (with G. Hu, Q. Xue), On the compositions of rough singular integral operators, J. Geom. Anal., 31 (2021) , 2742-2765.
5.Xiong Meng(with X. Liu, D. Zhang, B. Wu), Superconvergence of the local discontinuous Galerkin method for one dimensional nonlinear convection-diffusion equations, J. Sci. Comput., 87 (2021), No. 39.
6.Xiong Meng (with X. Liu, D. Zhang, B. Wu), Superconvergence of local discontinuous Galerkin methods with generalized alternating fluxes for 1D linear convection-diffusion equations, Sci. China Math., 64 (2021), 1305-1320.
7.Nikita Evseev, Vector-valued Sobolev spaces based on Banach function spaces, Nonlinear Analysis, 211 (2021), No. 112479.
8.Zhenan Sui, Convex hypersurfaces with prescribed scalar curvature and asymptotic boundary in hyperbolic space, Calc. Var. Partial Differential Equations, 60 (2021), No. 45.
9.Guodong Wang (with D. Cao), Nonlinear stability of planar vortex patches in an ideal fluid, J. Math. Fluid Mech., 23 (2021), No. 58.
10.Guodong Wang (with D. Cao, B. Zuo), Existence of steady symmetric vortex patch in a disk, J. Math. Fluid Mech., 23 (2021), No. 20.
11.Guodong Wang (with D. Cao, J. Wan, W. Zhan), Rotating vortex patches for the planar euler equations in a disk, J. Differential Equations, 275 (2021), 509-532.
12.Guodong Wang, On 2D steady Euler flows with small vorticity near the boundary, J. Differential Equations, 270 (2021), 24-46.
13.Guodong Wang (with B. Zuo), On radial symmetry of rotating vortex patches in the disk, J. Math. Anal. Appl., 495 (2021), No. 124695.
14.Liming Wu,Chaoen Zhang (with W. Liu), Long-time behaviors of mean-field interacting particle systems related to McKean-Vlasov equations, Comm. Math. Phys., 387 (2021), 179-214.
15.Quanhua Xu (with M. Junge), Notes on real interpolation of operator Lp, Acta Math. Sci., 41 (2021), 2173-2182.
16.Chao Zhang (with Y. Fang), Gradient Holder regularity for parabolic normalized p(x,t)-Laplace equation, J. Differential Equations, 295 (2021), 211-232.
17.Chao Zhang(with M. Ding, S. Zhou), Local boundedness and Holder continuity for the parabolic fractional p-Laplace equations, Calc. Var. Partial Differential Equations, 60 (2021), No. 38.
18.Jingtao Zang(with Robert X.J. Hao, Erin Y.Y. Shen), A rank of partitions with overline designated summands, Discrete Math., 344 (2021), No. 112556.
19.Jingtao Zang(with H. Xiong), On the polynomiality and asymptotics of moments of sizes for random (n,dn±1)-core partitions with distinct parts, Sci. China Math., 64 (2021), 869-886.
2020
1.Wei Bian (with X. Chen), A smoothing proximal gradient algorithm for nonsmooth convex regression with cardinality penalty, SIAM J. Numer. Anal., 58 (2020), 858-883.
2.Jian Fang(with T. Aye and Y. Pan), On a population model in discrete periodic habitat. I. Spreading speed and optimal dispersal strategy, J. Differential Equations, 269 (2020), 9653-9679.
3.Jian Fang (with X. Lai and F. Wang), Spatial dynamics of a dengue transmission model in time-space periodic environment, J. Differential Equations, 269 (2020), 149-175.
4.Jian Fang (with T. Aye and Y. Pan), On a population model in discrete periodic habitat. I. Spreading speed and optimal
dispersal strategy, J. Differential Equations, 269 (2020), 9653-9679.
5.Xudong Lai, Maximal operator for the higher order Calderón commutator, Canad J. Math., 72 (2020), 1386-1422.
6.Xudong Lai, Multilinear estimates for Calder'on commutators, Int. Math. Res. Not. IMRN, 2020, 7097-7138.
7.Zhuchun Li, Xiaoping Xue(with X. Zhao), Stability in a Hebbian network of Kuramoto oscillators with second-order couplings for binary pattern retrieve, SIAM J. Appl. Dyn. Syst., 19 (2020), 1124-1159.
8.Zhuchun Li(with X. Zhao), Synchronization in Kuramoto oscillators for power grids with dynamic voltage, Nonlinearity, 33 (2020), 6624-6661.
9.Zhuchun Li (with S.-Y. Ha and X. Zhang), On the critical exponent of the one-dimensional Cucker-Smale model on a general graph, Math. Models Methods Appl. Sci., 30 (2020), 1653-1703.
10.Xiong Meng (with Y. Xu, C. Shu, Q. Zhang), Superconvergence analysis of the Runge-Kutta discontinuous Galerkin methods for a linear hyperbolic equation, J. Sci. Comput., 84 (2020), No. 23.
11.Xiong Meng (with M. Liu, B. Wu), Optimal error estimates of the discontinuous Galerkin method with upwind-biased fluxes for 2D linear variable coefficients hyperbolic equations, J. Sci. Comput., 83 (2020), No. 9.
12.Xiong Meng (with J. Li, D. Zhang, B. Wu, Q. Zhang), Discontinuous Galerkin methods for nonlinear scalar conservation laws: generalized local Lax-Friedrichs numerical fluxes, SIAM J. Numer. Anal., 58 (2020), 1-20.
13.Xiong Meng (with J. Li, D. Zhang, B. Wu), Analysis of local discontinuous Galerkin methods with generalized numerical fluxes for linearized KdV equations, Math. Comp., 89 (2020), 2085-2111.
14.Nikita Evseev (with А. Menovschikov), Sobolev space of functions valued in a monotone Banach family, J. Math. Anal. Appl., 492 (2020), No. 124440.
15.Zhenan Sui, Strictly locally convex hypersurfaces with prescribed curvature and boundary in space forms, Comm. Partial Differential Equations, 45 (2020), 253-283.
16.Guodong Wang (with D. Cao), Existence of steady multiple vortex patches to the vortex-wave system, Pacific J. Math., 308 (2020), 257-279.
17.Guodong Wang (with B. Zuo), Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain, J. Math. Anal. Appl., 487 (2020), No. 124012.
18.Guodong Wang (with D. Cao), A note on steady vortex flows in two dimensions, Proc. Amer. Math. Soc., 148 (2020), 1153-1159.
19.Guodong Wang (with D. Cao, J. Wan), Steady vortex patch with polygonal symmetry for the planar Euler equations in a disc, Nonlinear Anal. Real World Appl., 51 (2020), No. 103008.
20.Guodong Wang (with D. Cao, W. Zhan), Desingularization of vortices for two-dimensional steady Euler flows via the vorticity method, SIAM J. Math. Anal., 52 (2020), 5363-5388.
21.Quanhua Xu, Vector-valued Littlewood-Paley-Stein Theory for Semigroups II, Int. Math. Res. Not. IMRN, 21 (2020), 7769-7791.
22.Xiao Xiong(with E. McDonald, F. Sukochev),Quantum differentiability on noncommutative Euclidean spaces, Comm. Math. Phys., 379 (2020), 491-542.
23.Zhi Yin (with X. Yan, L. Li), Quantum alpha-fdelity of unitary orbits, Quantum Inf.Process, 19 (2020), No. 307.
24.Zhi Yin (with X. Yan, L. Li), Approximation of quantum assemblages, Phys. Lett. A, 384 (2020), No. 126082.
25.Zhi Yin (with J. Gu, L. Li), Two simple causal inequalities with multi-settings, Internat. J. Theoret. Phys., 59 (2020), 97-107.
26.Jingtao Zang (with H. Xiong), Monotonicity properties for ranks of overpartitions, J. Number Theory, 209 (2020), 330-346.
27.Yichao Zhang (with Y.-J. Choie and W. Kohnen), Simultaneous nonvanishing of products of L-functions associated to elliptic cusp forms, J. Math. Anal. Appl., 486 (2020), No. 123930.
28.Yichao Zhang (with Y.-J. Choie), Kernels for products of Hilbert L-functions, Math. Z., 295 (2020), 87-99.
29.Yichao Zhang, Half-integral weight modular forms and modular forms for Weil representations, Manuscripta Math., 163 (2020), 507-536.
2019
1.Jian Fang (with N. Sun), Delayed reaction-diffusion equation with free boundaries, Calc. Var. Partial Differential Equations, 58 (2019), No. 148.
2.Qianqian Hou (with Z. Wang), Stability of boundary layers for the keller-segel system with singular sensitivity in the half-plane, J. Math. Pures Appl., 130 (2019), 251-287.
3.Xudong Lai (with Y. Ding), A note on weak type (1,1) estimate for the higher order commutator of Christ-Journ'e type, Anal. Theory Appl., 35 (2019), 268-287.
4.Xudong Lai (with Y. Ding), Weak type (1,1) bound criterion for singular integral with rough kernel and its application,
Trans. Amer. Math. Soc., 371 (2019), 1649-1675.
5.Zhuchun Li (with Y.-P. Choi), Synchronization of nonuniform Kuramoto oscillators for power grids with general connectivity and dampings, Nonlinearity, 32 (2019), 559-583.
6.Xiong Meng (with J. Li, D. Zhang, B. Wu), Analysis of discontinuous Galerkin methods with upwind-biased fluxes for one dimensional linear hyperbolic equations with degenerate variable coefficients, J. Sci. Comput., 78 (2019), 1305-1328.
7.Quanhua Xu (with N. Randrianantoanina, L. Wu), Noncommutative Davis type decompositions and applications, J. Lond. Math. Soc.(2), 99 (2019), 97-126.
8.Xiao Xiong (with E. McDonald, F. Sukochev), Quantum differentiability on quantum tori, Comm. Math. Phys., 371 (2019), 1231-1260.
9.Xiao Xiong (with R. Xia), Mapping properties of operator-valued pseudo-differential operators, J. Funct. Anal., 277 (2019), 2918-2980.
10.Xiao Xiong (with R. Xia), Operator-valued local Hardy spaces, J. Operator Theory, 277 (2019), 2918-2980.
11.Chao Zhang (with F. Yao, S. Zhou), Gradient estimates for a class of quasilinear elliptic equations with measure data, Sci. China Math., 62 (2019), 1719-1730.
12.Yichao Zhang (with K. Joshi), Eigenform product identities for Hilbert modular forms, Math. Z., 293 (2019), 1161-1179.
2018
1.Jian Fang (with Y. Pan and J. Wei), Seasonal influence on age-structured invasive species with yearly generation, SIAM J. Appl. Math., 78 (2018), 1842-1862.
2.Jian Fang (with H. Berestycki), Forced waves of the Fisher-KPP equation in a shifting environment, J. Differential Equations,
264 (2018), 2157-2183.
3.Xudong Lai (with Y. Ding), A note on the discrete Fourier restriction problem, Proc. Amer. Math. Soc., 146 (2018), 3839-3846.
4. Xudong Lai (with Y. Ding), On a singular integral of Christ-Journé type with homogeneous kernel, Canad. Math. Bull., 61 (2018), 97-113.
5.Xudong Lai (with Y. Ding), Weighted weak type (1,1) estimate for Christ-Journé type commutator, Sci. China Math., 61 (2018), 517-534.
6.Zhuchun Li,Xiaoping Xue (with X. Zhao), Formation, stability and basin of phase-locking for Kuramoto oscillators bidirectionally coupled in a ring, Netw. Heterog. Media, 15 (2018), 323-337.
7.Zhituo Wang, Constructive Renormalization of the 2-dimensional Grosse-Wulkenhaar Model, Annales Henri Poincaré, 19 (2018), 2435-2490.
8.Xiao Xiong,Quanhua Xu,Zhi Yin, Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori, Mem. Amer. Math. Soc., 252 (2018), No. 1203.
9.Zhi Yin (with B. Collins, P. Zhong), The PPT square conjecture holds generically for some classes of independent states, J. Phys. A: Math. Theor., 51 (2018), No. 425301.
10.Yichao Zhang (with W. Kohnen), On sign changes of Fourier coefficients of modular forms, Res. Number Theory, 4 (2018), No. 1.
2017
1.Xudong Lai (with Y. Ding), L1-Dini condition and limiting behavior of weak type estimate for singular integrals, Rev. Mat. Iberoam, 33 (2017), 1267-1284.
2.Quanhua Xu (with N. Yu, R. Duan), Bounds on the distance between a unital quantum channel and the convex hull of unitary channels, IEEE Trans. Inform. Theory, 63 (2017), 1299-1310.
3.Quanhua Xu (with T. Ma, J. L. Torrea), Weighted variation inequalities for differential operators and singular integrals in higher dimensions, Sci. China Math., 60 (2017), 1419-1442.
4.Zhi Yin (with A. W. Harrow, M. Horodecki, M. Marcinniak, A. Rutkowski), Random and free observables saturate the Tsirelson bound for CHSH inequality, Phys. Rev. A, 95 (2017), No. 032101.
