[1] Uniform positivity and continuity of Lyapunov exponents for a class of C2 quasiperiodic Schrödinger cocycles

[2] Ballistic Orbits and Front Speed Enhancement for ABC Flows, KAM and non-KAM solutions, front speed enhancement

[3] Semiclassical measures on hyperbolic surfaces have full support

[4] Periodic orbits of the ABC flow with $A=B=C=1$

[5] Entropy, determinants, and L^2-torsion

[6] Dynamics around the double resonance

[7] Continuity Scaling: A Rigorous Framework for Detecting and Quantifying Causality Accurately

[8] Dynamics of a competing two-strain SIS epidemic model on complex networks with a saturating incidence rate

[9] On spatial entropy of multi-dimensional symbolic dynamical systems

[10] Irregular sets of two-sided Birkhoff averages and hyperbolic sets

[11] A dichotomy on the self-similarity of graph-directed attractors

[12] Quasi-periodic almost-collision orbits in the spatial three-body problem

[13] Levy-Khintchin Theorem for best simultaneous Diophantine approximations

[14] On Landau damping

[15] Global theory of one-frequency Schrödinger operators

[16] Mixing properties of commuting nilmanifold automorphisms

[17] Differentiability of the Lq-spectrum and Multifractal decomposition by using infinite graph-directed IFSs

[18] Sharpness of Rickman’s Picard theorem in all dimensions

[19] On the marked length spectrum of generic strictly convex billiard tables. (English summary)

[20] Zeta functions for two-dimensional shifts of finite type

[21] Effective fronts of polygon shapes in two dimensions

[22] Effective Fronts of Polytope Shapes

[23] Dynamics of a network-based SIS epidemic model with nonmonotone incidence rate

[24] Dimensions in infinite iterated function systems consisting of bi-Lipschitz mapping

[25] Intermittent behaviors in weakly coupled map lattices

[26] Nearly Circular Domains Which Are Integrable Close to the Boundary Are Ellipses

[27] Nonemptiness problems of Wang tiles with three colors

[28] Constructing entire functions by quasiconformal folding

[29] Regular dependence of the Peierls barriers on perturbations

[30] Inverse problems, non-roundness and flat pieces of the effective burning velocity from an inviscid quadratic hamilton-jacobi model

[31] Lyapunov exponents for random perturbations of some area-preserving maps including the standard map

[32] Platform modelling and scheduling game with multiple intelligent cloud-computing pools for big data

[33] Spatial chaos of Wang tiles with two symbols

[34] The existence of Zariski dense orbits for endomorphisms of projective surfaces (with an appendix in collaboration with Thomas Tucker)

[35] Random walks and induced Dirichlet forms on self-similar sets

[36] About several classes of bi-orthogonal polynomials and discrete integrable systems

[37] Dimension of quasicircles

[38] New partially hyperbolic dynamical systems I

[39] On Möbius orthogonality for interval maps of zero entropy and orientation-preserving circle homeomorphisms

[40] Lyapunov exponents and correlation decay for random perturbations of some prototypical 2D maps

[41] The energy density in the planar Ising model

[42] Noncollision singularities in a planar two-center-two-body problem

[43] Hopf-Cole transformation via generalized Schrodinger bridge problem

[44] Order property and modulus of continuity of weak KAM solutions

[45] Algebraic actions of discrete groups: the p-adic method

[46] Correction of figure in “On Landau damping”

[47] Möbius disjointness for analytic skew products

[48] Existence of knotted vortex tubes in steady Euler flows

[49] A Unified System of FB-SDEs with Levy Jumps and Double Completely-S Skew Reflections

[50] Mean ergodic theorem for amenable discrete quantum groups and a Wiener-type theorem for compact metrizable groups.

[51] The dynamics of conservative peakons in the NLS hierarchy

[52] Fourier coefficients of $\times p$-invariant measures.

[53] An enriched network motif family regulates multistep cell fate transitions with restricted reversibility

[54] Noncollision singularities in a planar four-body problem

[55] Algebraic dynamics of the lifts of Frobenius

[56] Ergodic invariant states and irreducible representations of crossed product $C^∗$-algebras.

[57] The dynamics of gas‑bubble formation at saturated conditions in porous media flow

[58] Partial-skew-orthogonal polynomials and related integrable lattices with Pfaffian tau-functions

[59] Quantifying pluripotency landscape of cell differentiation from scRNA-seq data by continuous birth-death process

[60] A direct method for evaluating some nice Hankel determinants and proofs of several conjectures

[61] On degrees of birational mappings

[62] Dynamical Mordell-Lang conjecture for birational polynomial morphisms on A^2

[63] The dynamical Mordell-Lang conjecture for polynomial endomorphisms of the affine plane

[64] The existence of Zariski dense orbits for polynomial endomorphisms of the affine plane

[65] Transitions and anti-integrable limits for multi-hole Sturmian systems and Denjoy counterexamples

[66] An application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type

[67] Moment modification, multipeakons, and nonisospectral generalizations

[68] Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders

[69] Building Anosov flows on 3-manifolds

[70] Lax integrability of the modified Camassa-Holm equation and the concept of peakons

[71] Revealing hidden dynamics from time-series data by ODENet

[72] Equidistribution of expanding translates of curves and Diophantine approximation on matrices

[73] Lax integrability and the peakon problem for the modified CamassaHolm equation

[74] Hankel determinant solutions to several discrete integrable systems and the Laurent property

[75] Algebraic dynamics of skew-linear self-maps

[76] Martin boundary covers Floyd boundary

[77] An extended multistep shanks transformation and convergence acceleration algorithm with their convergence and stability analysis

[78] Hausdorff dimension of weighted singular vectors in R^2

[79] Distributional chaos in multifractal analysis,recurrence and transitivity

[80] Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions

[81] Combinatorial proofs of addition formulas

[82] Liouville integrability of conservative peakons for a modified CH equation

[83] A transcendental dynamical degree

[84] Different asymptotic behavior versus same dynamical complexity: Recurrence & (ir)regularity

[85] KdV equation under periodic boundary conditions and its perturbations

[86] Long-time dynamics of resonant weakly nonlinear cgl equations

[87] M\"{o}bius disjointness for a class of exponential functions

[88] Exponential mixing property for automorphisms of compact Kähler manifolds

[89] On averaging and mixing for stochastic pdes

[90] Anqie entropy and arithmetic compactification of natural numbers

[91] A Continuous Family of Equilibria in Ferromagnetic Media are Ground States

[92] On long time dynamics of perturbed kdv equations

[93] Hausdorff dimension of divergent trajectories on homogeneous space

[94] Topology change of level sets in Morse theory

[95] Finer filtration for matrix-valued cocycle based on Oseledec's multiplicative ergodic theorem

[96] An Averaging Theorem for Perturbed KdV Equation

[97] The Dynamical Mordell-Lang Conjecture for skew-linear self-maps. Appendix by Michael Wibmer

[98] A generalized nonisospectral CamassaHolm equation and its multipeakon solutions

[99] On the energy transfer to high frequencies in the damped/driven nonlinear schro ̈dinger equation

[100] Virtual homological spectral radii for automorphisms of surfaces

[101] Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property

[102] An averaging theorem for nonlinear schro ̈dinger equations with small nonlinearities

[103] Real time algorithm for nonlinear filtering problem

[104] Disjointness of M\"{o}bius from asymptotically periodic functions

[105] On energy transferring in a periodic pendu- lum lattice with analytic weak couplings

[106] On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables

[107] On the integrability of strictly convex billiard tables with boundaries close to ellipses with small eccentricities

[108] Time-averaging for weakly nonlinear cgl equations with arbitrary potentials