王俭

2014

A generalization of the line translation theorem

Transactions of the American Mathematical Society

DOI

2026

$L^\infty$-metrics on tori and Schoen's conjecture

arXiv preprint

2026

Examples beyond Bounded Mean Motion for Quantitative Rigidity on the Two-Torus

arXiv preprint

2026

Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis

arXiv preprint

2026

Essential spectrum for Brox-type diffusion processes

arXiv preprint

2026

Non-rigid disk pseudo-rotations in $C^1$ and $C^{1,β}$

arXiv preprint

2026

Regularity, quantitative deviation, and non-rigidity of a lacunary skew product

arXiv preprint

2026

Geometry-Driven Nonlinear Orbital Magnetoelectric Effect

arXiv preprint

2026

Third-order intrinsic anomalous Hall effect as a transport fingerprint of altermagnets

arXiv preprint

2026

Brownian Loops and the Selberg Zeta Function

arXiv preprint

2026

Maximal Entanglement and Frozen Information: A Unified Framework for Dynamical Quantum Phase Transitions

arXiv preprint

2026

Quantitative Rigidity of pseudo-rotations on the two-torus and Sarnak's conjecture

arXiv preprint

2026

Quantitative Asymptotics for Time-Inhomogeneous Lévy-Driven SDEs with Asymptotically Vanishing Drifts

arXiv preprint

2026

Quantitative stochastic homogenization for long-range random walks with critical jump index

arXiv preprint

2026

Stochastic homogenization of diffusions in turbulence driven by non-local symmetric Lévy operators

arXiv preprint

2025

Weak irreducibility of stochastic delay differential equation driven by pure jump noise

arXiv preprint

2025

Convergence rates for the $p$-Wasserstein distance of the empirical measures of an ergodic Markov process

arXiv preprint

2025

Mass Lower Bounds for Asymptotically Locally Flat Manifolds

arXiv preprint

2025

Quantum geometric map of magnetotransport

arXiv preprint

DOI

2025

Nonlinear Magnetoelectric Edelstein Effect

arXiv preprint

DOI

2025

Andr{á}sfai--Erdős--Sós theorem under max-degree constraints

arXiv preprint

2025

Orr-Sommerfeld equation and complex deformation

arXiv preprint

2025

Unconventional Hall Effect in Gapless Superconductors: Transverse Supercurrent Converted from Normal Current

arXiv preprint

2025

Inner fluctuations and the spectral Einstein functional

arXiv preprint

2025

Heat kernels and Green functions for fractional Schrödinger operators with confining potentials

arXiv preprint

2025

Stationary distributions of McKean-Vlasov SDEs with jumps: existence, uniqueness, and multiplicity

arXiv preprint

2025

Lyapunov exponents and growth indices for fractional stochastic heat equations with space-time Lévy white noise

arXiv preprint

2025

Ergodicity of conditional McKean-Vlasov jump diffusions

arXiv preprint

2024

The positive fundamental group of ${\rm Sp}(2n)$

arXiv (Cornell University)

DOI

2024

On open manifolds admitting no complete metric with positive scalar curvature

arXiv preprint

2024

Gauge invariant quantum transport theory for non-Hermitian systems

arXiv preprint

2024

Light-induced thermal noise \textit{anomaly} governed by quantum metric

arXiv preprint

2024

Spectral forms and de-Rham Hodge operator

arXiv preprint

DOI

2024

The spectral torsion for the Connes type operator

arXiv preprint

DOI

2024

A note on Lévy-driven McKean-Vlasov SDEs under monotonicity

arXiv preprint

2024

Spatial asymptotic behaviors of fractional stochastic heat equations driven by additive Lévy white noise

arXiv preprint

2024

Local boundedness of solutions to parabolic equations associated with fractional $p$-Laplacian type operators

arXiv preprint

2024

Geometric ergodicity of modified Euler schemes for SDEs with super-linearity

arXiv preprint

2024

Uniform large deviations and metastability of random dynamical systems

arXiv preprint

2024

Quantitative periodic homogenization for symmetric non-local stable-like operators

arXiv preprint

2024

$L^2$-exponential ergodicity of stochastic Hamiltonian systems with $α$-stable Lévy noises

arXiv preprint

2023

Quasi-stationary distribution for continuous-state branching processes with competition

arXiv preprint

2023

Quantum Fluctuation of the Quantum Geometric Tensor and its Manifestation as Intrinsic Hall Signatures in Time-Reversal Invariant Systems

arXiv preprint

DOI

2023

Intrinsic gyrotropic magnetic current from Zeeman quantum geometry

arXiv preprint

DOI

2023

One-forms, spectral Einstein functionals and the noncommutative residue

arXiv preprint

2023

Quantitative stochastic homogenization for random conductance models with stable-like jumps

arXiv preprint

2023

Two-sided heat kernel estimates for Schrödinger operators with unbounded potentials

arXiv preprint

2023

Exponential ergodicity of Lévy driven Langevin dynamics with singular potentials

arXiv preprint

2022

The growth of the number of periodic orbits for annulus homeomorphisms and non-contractible closed geodesics on Riemannian or Finsler $\mathbb{R}P^2$

arXiv preprint

2022

Accessibility of SPDEs driven by pure jump noise and its applications

arXiv preprint

2022

Refinements of Franks' theorem and applications in Reeb dynamics

arXiv preprint

2022

Density of mode-locking property for quasi-periodically forced Arnold circle maps

arXiv preprint

DOI

2022

Exponential ergodicity for damping Hamiltonian dynamics with state-dependent and non-local collisions

arXiv preprint

2022

The stochastic nonlinear Schrödinger equations driven by pure jump noise

arXiv preprint

2021

On K-K-W Type Theorems for Conformal Perturbations of Twisted Dirac Operators

arXiv preprint

2021

Dirac-Witten Operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary

arXiv preprint

DOI

2021

Strict Kantorovich contractions for Markov chains and Euler schemes with general noise

arXiv preprint

2021

Coupling approach for exponential ergodicity of stochastic Hamiltonian systems with Lévy noises

arXiv preprint

2020

Homogenization of symmetric stable-like processes in stationary ergodic medium

arXiv preprint

2020

Quenched invariance principle for long range random walks in balanced random environments

arXiv preprint

2020

Quenched asymptotics for symmetric Lévy processes interacting with Poissonian fields

arXiv preprint

2019

Exponential ergodicity for SDEs and McKean-Vlasov processes with Lévy noise

arXiv preprint

2019

Heat kernel estimates for general symmetric pure jump Dirichlet forms

arXiv preprint

2019

Exponential ergodicity for general continuous-state nonlinear branching processes

arXiv preprint

2019

Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms

arXiv preprint

2018

Perturbations of Dirac Operators and A KKW Type Theorem for Five Dimensional Manifolds with Boundary

arXiv preprint

2018

Random Conductance Models with Stable-like Jumps: Quenched Invariance Principle

arXiv preprint

2018

Heat kernel estimates of fractional Schrödinger operators with negative hardy potential

arXiv preprint

2018

Long range random walks and associated geometries on groups of polynomial growth

arXiv preprint

2018

Gradient Estimates and Ergodicity for SDEs Driven by Multiplicative Lévy Noises via Coupling

arXiv preprint

2017

On bifurcation of eigenvalues along convex symplectic paths

arXiv preprint

2017

Intrinsic Ultracontractivity of Non-local Dirichlet forms on Unbounded Open Sets

arXiv preprint

2016

Some properties of Hamiltonian homeomorphisms on closed aspherical surfaces

arXiv preprint

2016

Stability of heat kernel estimates for symmetric non-local Dirichlet forms

arXiv preprint

2016

Stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms

arXiv preprint

2015

Rate functions for symmetric markov processes via heat kernel

arXiv preprint

2015

Intrinsic Ultracontractivity for General Lévy processes on Bounded Open Sets

arXiv preprint

2015

Linear Evolution Equations with Cylindrical Lévy Noise: Gradient Estimates and Exponential Ergodicity

arXiv preprint

2015

Laws of the iterated logarithm for symmetric jump processes

arXiv preprint

2014

A Kastler-Kalau-Walze Type Theorem for 5-dimensional Manifolds with Boundary

arXiv preprint

DOI

2013

A local equivariant index theorem for sub-signature operators

arXiv preprint

2013

A Simple Approach to Functional Inequalities for Non-local Dirichlet Forms

arXiv preprint

2012

Noncommutative Residue and sub-Dirac Operators for Foliations

arXiv preprint

DOI

2012

Harnack Inequalities for Stochastic Equations Driven by Lévy Noise

arXiv preprint

2012

Functional inequalities for Nonlocal Dirichlet Forms With Finite Range Jumps or Large Jumps

arXiv preprint

2012

On the conservativeness and the recurrence of symmetric jump-diffusions

arXiv preprint

2011

Double Conformal Invariants and the Wodzicki Residue

arXiv preprint

2011

A generalization of classical action of Hamiltonian diffeomorphisms to Hamiltonian homeomorphisms on fixed points

arXiv preprint

2011

Some Theorems on Feller Processes: Transience, Local Times and Ultracontractivity

arXiv preprint

2011

Functional Inequalities and Subordination: Stability of Nash and Poincaré inequalities

arXiv preprint

2011

Harnack Inequalities for Ornstein-Uhlenbeck Processes Driven by Lévy Processes

arXiv preprint

2011

On the Coupling Property and the Liouville Theorem for Ornstein-Uhlenbeck Processes

arXiv preprint

2010

Coupling property and gradient estimates of Lévy processes via the symbol

arXiv preprint

DOI

2010

Constructions of Coupling Processes for Lévy Processes

arXiv preprint

2010

Strong Feller Continuity of Feller Processes and Semigroups

arXiv preprint