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

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

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

[4] Effective fronts of polygon shapes in two dimensions

[5] Effective Fronts of Polytope Shapes

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

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

[8] Anqie entropy and arithmetic compactification of natural numbers

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

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

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

[12] On long time dynamics of perturbed kdv equations

[13] An Averaging Theorem for Perturbed KdV Equation

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

[15] On averaging and mixing for stochastic pdes

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

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

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

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

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

[21] Martin boundary covers Floyd boundary

[22] Virtual homological spectral radii for automorphisms of surfaces

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

[24] Topology change of level sets in Morse theory

[25] A transcendental dynamical degree

[26] Hausdorff dimension of divergent trajectories on homogeneous space

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

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

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

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

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

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

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

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

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

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

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

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

[39] Real time algorithm for nonlinear filtering problem

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

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

[42] Moment modification, multipeakons, and nonisospectral generalizations

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

[44] Combinatorial proofs of addition formulas

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[63] On degrees of birational mappings

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

[65] Algebraic dynamics of the lifts of Frobenius

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

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

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

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

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

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

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

[73] Building Anosov flows on 3-manifolds

[74] Möbius disjointness for analytic skew products

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

[76] Semiclassical measures on hyperbolic surfaces have full support

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

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

[79] Intermittent behaviors in weakly coupled map lattices

[80] Dynamics around the double resonance

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

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

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

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

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

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

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

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

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

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

[91] New partially hyperbolic dynamical systems I

[92] Mixing properties of commuting nilmanifold automorphisms

[93] Global theory of one-frequency Schrödinger operators

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

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

[96] Constructing entire functions by quasiconformal folding

[97] The energy density in the planar Ising model

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

[99] On Landau damping

[100] Dimension of quasicircles

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

[102] Regular dependence of the Peierls barriers on perturbations

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

[104] Spatial chaos of Wang tiles with two symbols

[105] Nonemptiness problems of Wang tiles with three colors

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

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

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