Publications

  

Preprints


1.Haosui Duanmu(with Daniel Roy, Aaron Smith), Existence of matching priors on compact spaces, Biometrikato appear. 

2.Haosui Duanmu(with David Schrittesser, William Weiss), Loeb extension and Loeb equivalence, Fundamenta Mathematicaeto appear. 

3.Haosui Duanmu(with Robert Anderson, Aaron Smith), Mixing times and hitting times for general Markov processes. Israel Journal of Mathematicsto appear. 

4.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. 

5.Guixiang Hong(with S. Wang, W. Wang), Pointiwse convergence of noncommutative Fourier series, Mem. Amer. Math. Soc., in press.

6.Guixiang Hong(with X. Lai, S. Ray and B. Xu), Noncommutative maximal strong Lp estimates of Calderon-Zygmund operators, Isarel J. Math., in press. 

7.Jinghao Huang(with Fedor Sukochev.), Hermitian operators and isometries on symmetric operator spaces, Journal of the European Mathematical Society, to appear. 

8.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. 

9.Jinghao Huang(with Sergey Astashkin, Marat Pliev, Fedor Sukochev, Dmitriy Zanin.), Optimal range of Haar martingale transforms and its applications, International Mathematics Research Notices, to appear. 

10.Xudong Lai, Sharp estimates of noncommutative Bochner-Riesz means on two-dimensional quantum toriComm. Math. Phys., to appear.

11.Ke Li(with Yongsheng Yao), Operational interpretation of the sandwiched Rényi divergence of order 1/2 to 1 as strong converse exponents. Commun. Math. Phys., in press. arXiv:2209.00554.

12.Ke Li(with Yongsheng Yao), Strong converse exponent for entanglement-assisted communication. IEEE Trans. Inf. Theory, in press. arXiv:2209.00555.

13.Chunhui Liu, Control of the non-geometrically integral reductions, Int. J. Number Theory, to appear.

14.Chunhui Liu, Fibres non réduites d'un schéma arithmétique, Math. Z.to appear. 

15.Chunhui Liu, Counting multiplicities in a hypersurface over finite fieldKyoto J. Mathto appear.

16.Zhenan Sui(with W. Sun)Lipschitz Continuous Hypersurfaces with Prescribed Curvature and Asymptotic Boundary in Hyperbolic SpaceInt. Math. Res. Not. IMRNto appear.

17.Zhituo WangPhase Transitions in Square Hubbard Model, to appear.

18.Quanhua Xu, Holomorphic functional calculus and vector-valued Littlewood-Paley-Stein theory for semigroups. Submitted.

19.Quanhua Xu(with Z. Chen and N. Randrianantoanina), Atomic decompositions for noncommutative martingales. Submitted.



Publication


2023


1.Guixiang Hong(with X. Lai and L. Wang), Fourier restriction on quantum Euclidean spaces, Adv. Math., 430 (2023) 109232.

2.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.

3.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.

4.Guixiang Hong(with W. Wang and X. Wu), Wavelet Characterizations of Operator-Valued Hardy Spaces, Int. Math. Res. Notes, 2023 (2023), 13978-14005.

5.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.

6.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.

7.Guixiang Hong(with Y. Chen), The L2-Boundedness of the Variational Calderón–Zygmund Operators, J. Geom. Anal. (2023) 33:73.

8.Yining HuOn the union-closed sets conjecture. Discrete Math. 346, No. 8, (2023).

9.Yining HuOn a family of 2-automatic sequences generating algebraic continued fractions in characteristic 2.Finite Fields Appl. 88, (2023).

10.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.

11.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.

12.Jinghao Huang(with Fedor Sukochev.) Derivations with values in noncommutative symmetric spaces,Comptes Rendus Mathématique 361 (2023) , 1357-1365.

13.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.

14.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.

15.Jinghao Huang(with Kudaybergenov, Karimbergen; Sukochev, Fedor), Ring derivations of Murray–von Neumann algebras. Linear Algebra Appl. 672 (2023), 28–52.

16.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

17.Xudong Lai(with Guixiang Hong, Liang Wang.), Fourier restriction estimates on quantum Euclidean spaces, Adv. Math. 430 (2023) 109232.

18.Xudong LaiWeak type (1,1) behavior for the Littlewood-Paley g-function, Colloq. Math., 171 (2023), no. 2, 285-302.

19.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.

20.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.

21.Guodong Wang(with Zuo Bijun.), Location of concentrated vortices in planar steady Euler flows. Commun. Math. Sci. 21 (2023), no. 2, 517–527.  

22.Guodong WangStability of 2D Steady Euler flows related to least energy solutions of the Lane-Emden equation. J. Differential Equations, 342 (2023), 596–621.  

23.Jun Wang(with Emmanuel Lecouturier)Level compatibility in Sharifi’s conjecture,Canadian Mathematical Bulletin , Volume 66 , Issue 4 , December 2023 , pp. 1194 - 1212 

24.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. 

25.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.

26.Simeng Wang(with Amaury FreslonFrank Taipe), Tannaka-Krein reconstruction and ergodic actions of easy quantum groupsComm. Math. Phys. 399 (2023), 105-172. 

27.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.

28.Zhituo Wang(with Vincent Rivasseau)Honeycomb Hubbard Model at van Hove Filling,Communications in Mathematical physics期卷 401, pages 25692642 (2023).

29.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.

30.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.

31.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 LaiNoncommutative maximal operators with rough kernels, Analysis & PDE. 2022. 

5.Xudong LaiOn vector-valued singular integral operators with rough kernels, Math. Nachr. 2022.

6.Xudong LaiSharp 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 algebrasAdv. Math. 403 (2022), Paper No. 108394, 32 pp.


2021


1.Yan CuiEstimation 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 equationsCalc. Var. Partial Differential Equations

60 (2021), No90 .  

3.Qianqian Hou (with T. C. Lin and Z. Wang)On a singularly perturbed semi-linear problem with robin boundary conditionsDiscrete 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 operatorsJ. 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), No39.

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 equationsSci. China Math., 64 (2021), 1305-1320.

7.Nikita Evseev, Vector-valued Sobolev spaces based on Banach function spacesNonlinear Analysis, 211 (2021), No. 112479.

8.Zhenan Sui, Convex hypersurfaces with prescribed scalar curvature and asymptotic boundary in hyperbolic spaceCalc. Var. Partial Differential Equations, 60 (2021), No. 45.     

9.Guodong Wang (with D. Cao), Nonlinear stability of planar vortex patches in an ideal fluidJ. Math. Fluid Mech., 23 (2021), No. 58.

10.Guodong Wang (with D. Cao, B. Zuo), Existence of steady symmetric vortex patch in a diskJ. 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 diskJ. Differential Equations, 275 (2021), 509-532.

12.Guodong WangOn 2D steady Euler flows with small vorticity near the boundaryJ. Differential Equations, 270 (2021), 24-46. 

13.Guodong Wang (with B. Zuo), On radial symmetry of rotating vortex patches in the diskJ. 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 LpActa Math. Sci., 41 (2021), 2173-2182.

16.Chao Zhang (with Y. Fang), Gradient Holder regularity for parabolic normalized p(x,t)-Laplace equationJ. 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 equationsCalc. Var. Partial Differential Equations, 60 (2021), No38.

18.Jingtao Zang(with Robert X.J. Hao, Erin Y.Y. Shen), A rank of partitions with overline designated summandsDiscrete 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 partsSci. China Math., 64 (2021), 869-886.


2020


1.Wei Bian (with X. Chen), A smoothing proximal gradient algorithm for nonsmooth convex regression with cardinality penaltySIAM 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 strategyJ. 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 environmentJ. 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 LaiMaximal operator for the higher order Calderón commutatorCanad J. Math., 72 (2020), 1386-1422. 

6.Xudong LaiMultilinear 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 retrieveSIAM 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 graphMath. 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 equationJ. Sci. Comput., 84 (2020), No23.

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 equationsJ. Sci. Comput., 83 (2020),  No9.

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 fluxesSIAM 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 equationsMath. Comp., 89 (2020), 2085-2111.

14.Nikita Evseev (with А. Menovschikov), Sobolev space of functions valued in a monotone Banach familyJ. Math. Anal. Appl., 492 (2020), No. 124440.
15.Zhenan SuiStrictly locally convex hypersurfaces with prescribed curvature and boundary in space formsComm. Partial Differential Equations, 45 (2020), 253-283.  

16.Guodong Wang (with D. Cao), Existence of steady multiple vortex patches to the vortex-wave systemPacific 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 domainJ. Math. Anal. Appl., 487 (2020), No. 124012.

18.Guodong Wang (with D. Cao), A note on steady vortex flows in two dimensionsProc. 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 discNonlinear Anal. Real World Appl., 51 (2020), No103008.

20.Guodong Wang (with D. Cao, W. Zhan), Desingularization of vortices for two-dimensional steady Euler flows via the vorticity methodSIAM J. Math. Anal., 52 (2020), 5363-5388.

21.Quanhua XuVector-valued Littlewood-Paley-Stein Theory for Semigroups IIInt. Math. Res. Not. IMRN, 21 (2020), 7769-7791.

22.Xiao Xiong(with E. McDonald, F. Sukochev),Quantum differentiability on noncommutative Euclidean spacesComm. Math. Phys., 379 (2020), 491-542.

23.Zhi Yin (with X. Yan, L. Li), Quantum alpha-fdelity of unitary orbitsQuantum Inf.Process, 19 (2020), No307

24.Zhi Yin  (with X. Yan, L. Li), Approximation of quantum assemblages, Phys. Lett. A, 384 (2020), No126082.

25.Zhi Yin   (with J. Gu, L. Li), Two simple causal inequalities with multi-settingsInternat. J. Theoret. Phys., 59 (2020), 97-107.

26.Jingtao Zang (with H. Xiong), Monotonicity properties for ranks of overpartitionsJ. 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 formsJ. Math. Anal. Appl., 486 (2020), No123930.

28.Yichao Zhang (with Y.-J. Choie), Kernels for products of Hilbert L-functions, Math. Z., 295 (2020), 87-99.

29.Yichao ZhangHalf-integral weight modular forms and modular forms for Weil representationsManuscripta 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), No148.

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 dampingsNonlinearity, 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 coefficientsJ. Sci. Comput., 78 (2019), 1305-1328.

7.Quanhua Xu (with N. Randrianantoanina, L. Wu), Noncommutative Davis type decompositions and applicationsJ. Lond. Math. Soc.(2), 99 (2019), 97-126. 

8.Xiao Xiong (with E. McDonald, F. Sukochev), Quantum differentiability on quantum toriComm. Math. Phys., 371 (2019), 1231-1260.

9.Xiao Xiong (with R. Xia), Mapping properties of operator-valued pseudo-differential operatorsJ. Funct. Anal., 277 (2019), 2918-2980.

10.Xiao Xiong (with R. Xia), Operator-valued local Hardy spacesJ. Operator Theory277 (2019), 2918-2980.

11.Chao Zhang (with F. Yao, S. Zhou), Gradient estimates for a class of quasilinear elliptic equations with measure dataSci. China Math., 62 (2019), 1719-1730.

12.Yichao Zhang (with K. Joshi), Eigenform product identities for Hilbert modular formsMath. Z., 293 (2019), 1161-1179.


2018

  

1.Jian Fang (with Y. Pan and J. Wei), Seasonal influence on age-structured invasive species with yearly generationSIAM J. Appl. Math., 78 (2018), 1842-1862.

2.Jian Fang (with H. Berestycki), Forced waves of the Fisher-KPP equation in a shifting environmentJ. Differential Equations

264 (2018), 2157-2183.

3.Xudong Lai (with Y. Ding), A note on the discrete Fourier restriction problemProc. Amer. Math. Soc., 146 (2018), 3839-3846.

4. Xudong Lai (with Y. Ding), On a singular integral of Christ-Journé type with homogeneous kernelCanad. Math. Bull., 61 (2018), 97-113.

5.Xudong Lai (with Y. Ding), Weighted weak type (1,1) estimate for Christ-Journé type commutatorSci. 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 ringNetw. Heterog. Media, 15 (2018), 323-337.

7.Zhituo WangConstructive Renormalization of the 2-dimensional Grosse-Wulkenhaar ModelAnnales Henri Poincaré, 19 (2018), 2435-2490.

8.Xiao Xiong,Quanhua Xu,Zhi YinSobolev, Besov and Triebel-Lizorkin spaces on quantum toriMem. 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 statesJ. Phys. A: Math. Theor., 51 (2018), No. 425301. 

10.Yichao Zhang (with W. Kohnen), On sign changes of Fourier coefficients of modular formsRes. 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 integralsRev. 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 channelsIEEE 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       dimensionsSci. 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 inequalityPhys. Rev. A, 95 (2017), No. 032101.




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