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1063 papers in math.DS · page 8
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Linear response holds for skew products with parameter-dependent bases
Quenched and annealed linear response for some partially hyperbolic skew products
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An energy-based variational loss from the Fokker-Planck energy-dissipation law infers…
Structure-Aware Variational Learning of a Class of Generalized Diffusions
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Collatz paths confined to 1-2 cycle by 128-state parity rules
Selection Rules and Channel Structure in a Base Octave Model of Collatz Dynamics
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Fourier Weak SINDy selects sinusoidal test functions from spectral data to learn…
Fourier Weak SINDy: Spectral Test Function Selection for Robust Model Identification
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Continued fraction sets in Laurent series achieve dimension 1/(2α)
Fractal transference principle for continued fractions of Laurent series
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Quantum algorithms speed up higher-order oscillator analysis
Efficient Quantum Algorithms for Higher-Order Coupled Oscillators
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Criterion guarantees Cantor bubble Julia sets for rational maps
Rational maps with Cantor bubble Julia sets
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Algebraic conditions make fractal intersections self-affine
On the intersections of homogeneous self-similar sets with their translates in $\mathbb{R}^{n}$ and a formulation of multiplicative invariance in $\mathbb{Z}^{n}$
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Sinai billiard survival measures differentiate at zero hole size
Linear response for Sinai billiards with small holes
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Survival probability differentiates at zero hole size in Sinai billiards
Linear response for Sinai billiards with small holes
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Multiscale kinetic theory adds sub-microscopic scale to living systems
Multiscale Kinetic Structures for Living Systems
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Four crossing limit cycles emerge with curved nonsmooth switches
Emergence of Multiple Crossing Limit Cycles in Planar Piecewise Systems with Isochronous Centers and Nonsmooth Switching Manifolds
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Local conditions guarantee global primitive representations
Representations of binary quadratic forms by quaternary quadratic forms
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Transition condition handles dynamics at mechanism topology switches
Forward Dynamics of Variable Topology Mechanisms - The Case of Constraint Activation
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Birkhoff sums on slow billiards follow stable laws from tails or mixing
Stable laws for heavy-tailed observables on polynomially mixing billiards
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No universal upper bound for systolic ratios of Bott-integrable contact forms
Bott-integrable contact forms with large systolic ratio
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Explicit canonical coordinates separate Kaup-Kupershmidt Hénon-Heiles dynamics
Canonical separating coordinates in the generalized cubic H\'enon-Heiles systems
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Anosov critical exponent asymptotes to graph invariant
On separated families of Anosov representations
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Anosov families asymptote to graph invariants
On separated families of Anosov representations
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Pesin formula equates SRB entropy to sum of positive Lyapunov exponents
Multifractal Analysis, Liv\v{s}ic Rigidity, and Fluctuation Theorems for Axiom A Diffeomorphisms: The Pesin Formula and the Gallavotti-Cohen Symmetry
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Spectral gap yields explicit mixing
Statistical Limit Theorems for Axiom A Diffeomorphisms: Exponential Mixing, Central Limit Theorem, and Large Deviations
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Spectral gap yields five limit theorems for Axiom A diffeomorphisms
Statistical Limit Theorems for Axiom A Diffeomorphisms: Exponential Mixing, Central Limit Theorem, and Large Deviations
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Transfer operators give explicit stability and spectral gaps for Axiom A maps
Transfer Operators and SRB Measures for Axiom A Diffeomorphisms: Spectral Gap, Structural Stability, and the Gibbs Equivalence Theorem
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Gibbs Equivalence Theorem holds for SRB measures on Axiom A diffeomorphisms
Transfer Operators and SRB Measures for Axiom A Diffeomorphisms: Spectral Gap, Structural Stability, and the Gibbs Equivalence Theorem
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AM2 model in serial chemostats yields nine equilibrium types
AM2 model with a series configuration of interconnected chemostats and distinct removal rates
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Perturbed Anosov time-1 maps force unique mixing measures
Perturbation of the time-1 map of a generic volume-preserving $3$-dimensional Anosov flow
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Small delays permit consensus and flocking in multi-agent systems
Consensus and flocking with transmission and reaction delays
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Microbial mortality enriches anaerobic digestion model dynamics
Qualitative Analysis of a Three-Stage Anaerobic Digestion Model with Microbial Decay
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Transfer operators unify resets in stochastic hybrids on manifolds
Transfer Operators for Stochastic Hybrid Systems on Manifolds with Guard-Induced Resets
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Groups are C*-simple exactly when they lack non-trivial amenable confined subalgebras
$C^*$-simplicity, confined subalgebras, and operator algebraic uniform recurrence
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Non-minimal actions on the circle give C*-algebras with unique traces
Crossed product C*-algebras associated with non-minimal actions on the circle
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Adaptive kernels tune diffusion maps for better eigenfunctions
Adaptive Kernel Selection for Kernelized Diffusion Maps
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Theorem extends centre manifolds to fixed-point manifolds with boundary
Centre manifold theorem for maps along manifolds of fixed points
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Algebraic test checks when data plus knowledge uniquely solves Lyapunov equations
Informativity of Data-Knowledge Pairs for Lyapunov Equations
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Classical criterion implies δ-hypercyclicity for every radius
A Metric Framework for Approximate Transitivity, Mixing, and Hypercyclicity
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Unified edge weights give tighter stability conditions for networks
A Unified Theory of Edge Weights: Stability of General Laplacian Networks from Matrix Phases and Asymmetry Rayleigh Ratios
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Explicit non-inner-amenable étale groupoids found beyond partial actions
On groupoids beyond partial actions, inner amenability, and models for Kirchberg algebras
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Generalized Takagi function for beta-expansions is Hölder for any α<1
A generalization of the Takagi function for beta-expansions
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Explicit bounds give Markov partitions for hyperbolic maps
Uniform Hyperbolicity and Symbolic Dynamics: Markov Partitions, Shadowing, and the Coding of Axiom A Diffeomorphisms
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Binary relations turn IFS dynamics into a graph separating cycles from flows
A framework for the study of the qualitative dynamics of general Iterated Function Systems
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Pressure is Legendre-Fenchel transform of negative entropy
The Convex-Analytic Structure of Thermodynamic Equilibrium: Pressure, Subdifferentials, and Phase Transitions
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Five definitions of Gibbs measures proven equivalent with explicit bounds
Gibbs Measures on Subshifts of Finite Type: Five Equivalent Characterizations with Explicit Constants
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Rogue waves obey large deviations principle beyond critical times
Large Deviations for the Nonlinear Schrodinger Equation with Randomized Quasi-Periodic Initial Data in Higher Dimensions: Beyond the Critical Time Scale
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Bilinear modulation boosts SSM memory and computation
Bilinear Input Modulation for Mamba: Koopman Bilinear Forms for Memory Retention and Multiplicative Computation
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Exponential correlation bound holds for random maps with holes
Functional correlation bound for random Lasota--Yorke maps with holes and its applications to conditional normal approximations
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Bucket brigade fixed point is always unique
Bucket Brigades: Uniqueness of the Fixed Point and Three-Worker Asymptotics
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Crack density anisotropy steers paths
On the complementary roles of anisotropic crack density and anisotropic crack driving force in phase-field modeling of mixed-mode fracture
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Continuous perturbation norm yields evolution family
On the well-posedness of linear evolution equations under unbounded nonautonomous perturbations
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Bi-accessible cycles classify Julia set connectivity
Puzzle Pieces, Bi-accessibility, and Connectivity of the Julia Set for Generalized Blaschke Products
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Kernel conservation deficit equals Hessian margin exactly
Spectral Kernel Dynamics for Planetary Surface Graphs: Distinction Dynamics and Topological Conservation