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Every paper Pith has read. Search by title, abstract, or pith.
1063 papers in math.DS · page 15
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Random spectral radius obeys LLN and CLT for diagonal matrices
Probabilistic Analysis of the Random Spectral Radius for a Matrix Family
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Data-driven policy speeds up MPC by 100-1000x with provable bound
Data-driven Acceleration of MPC with Guarantees
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Zeta avoids paired zeros off the critical line
Asymmetry for the Riemann Hypothesis
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Zeta function avoids paired zeros off the critical line
Asymmetry for the Riemann Hypothesis
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Every nondegenerate Peano continuum admits a pure mixing self-map
Every nondegenerate Peano continuum admits a pure mixing selfmap
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Space-time samples recover initial states and evolution operators
Dynamical Sampling: A Survey
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Explicit formulas give Lyapunov coefficient for HANDY Hopf bifurcation
Computations for the first Lyapunov coefficient
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Geometric structures partition cell survival regions
Matters of Life and Death in Computational Cell Biology
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Adaptive observers track unknown source across sensor networks
Distributed Adaptive Estimation with ISS Guarantees for Sensor Networks with Partially Unknown Source Dynamics
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Bounded subgradient sequences converge with 1/k steps
On the diameter of subgradient sequences in o-minimal structures
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Weak penalty trains Neural ODEs to forecast chaos from noisy data
A Weak Penalty Neural ODE for Learning Chaotic Dynamics from Noisy Time Series
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Kepler billiard second foci all tangent to one circle
Poncelet property of planar elliptic integrable Kepler billiards
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Discrete Markov chains converge to diffusion entropy production
Coarse-graining nonequilibrium diffusions with Markov chains
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Explicit formulas derived for finite-size fluctuations in Kuramoto-Sakaguchi model
Mean-field approach to finite-size fluctuations in the Kuramoto-Sakaguchi model
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Over-approximation errors become usable preview for nonlinear control
Exploiting Over-Approximation Errors as Preview Information for Nonlinear Control
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Return-time sets in minimal systems match pronilfactor sets minus exceptions
A structure theorem for polynomial return-time sets in minimal systems
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Positive entropy passes to full-support quasifactors
On the entropy of processes generated by quasifactors
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Averages of n-periodic points for z^{p^ℓ}+c are 0
Counting the number of $n$-periodic $\mathbb{Z}_{p}$-and $\mathbb{F}_{p}[t]$-points of a discrete dynamical system with applications from arithmetic statistics, VI
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New matrix forms quantify peak transient growth in stable 2D systems
A Radial and Tangential Framework for Studying Transient Reactivity in Two-Dimensional Systems
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Integrability bounds extend to locally compact group couplings
Obstructions for quantitative measure equivalence between locally compact groups
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Jacobi equation splits for homographic N-body motions
A natural decomposition of the Jacobi equation for some classes of $N$-body problems
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Resonant bundles let numerics prove pulse stability
Resonant vector bundles, conjugate points, and the stability of pulse solutions to the {S}wift-{H}ohenberg equation using validated numerics: Part I
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Residual map finite etale detects strict good reduction
A Dynamical N\'eron--Ogg--Shafarevich Criterion via Orbital Arboreal Representations
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Energy minimization selects unique reps in Cantor set cohomology for large gamma
Non-local Dirichlet forms, Gibbs measures, and a cohomological Dirichlet principle for Cantor sets
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Quantum master equations obey dimension-dependent decay-rate bound
Universal bound on the Lyapunov spectrum of quantum master equations
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One disease's risk response suppresses another via behavioral spillover
The behavioral spillover effect: Modeling behavioral interdependencies in multi-pathogen dynamics
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Traveling waves show continuous coherence transition in Sakaguchi-Kuramoto
Traveling Waves in the McKean-Vlasov Equation under Sakaguchi-Kuramoto Interaction with Phase Frustration
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Ephemeral points ensure connected fibers in extended torus systems
Connectedness of fibers beyond semitoric systems II: ephemeral singular points
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Any two Z-odometers are sub-L1 orbit equivalent
Quantitative orbit equivalence for $\mathbb{Z}$-odometers
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Algorithm computes complex dimensions for every dust-type carpet
The Complex Dimensions of Every Sierpinski Carpet Modification of Dust Type
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Transitive non-minimal maps on free-interval spaces are relatively mixing
On mixing and dense periodicity on spaces with a free arc
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Data-driven tools discover conservation laws in nonlinear waves
Machine Learning of Nonlinear Waves: Data-Driven Methods for Computer-Assisted Discovery of Equations, Symmetries, Conservation Laws, and Integrability
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Lazy automata order bounded by pattern fibers
On the order of lazy cellular automata
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Skolem-Mahler-Lech theorem classifies periodic orbit lengths in FP systems
On Sets of Periodic Orbit Lengths in Finitely Presented Dynamical Systems
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Circle packings illuminate dynamics and rigidity advances
Dynamics and Rigidity through the Lens of Circles
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Damped systems solve Stiefel manifold optimization
Linear Algebra Problems Solved by Using Damped Dynamical Systems on the Stiefel Manifold
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Architecture symmetries trap neural training on lower-dimensional manifolds
Architecture Induces Structural Invariant Manifolds of Neural Network Training Dynamics
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Generic network equations allow only balanced cell synchrony
Generic balanced synchrony patterns in network dynamics
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Boundaries need five elements for multistability in topological Kuramoto model
Phase locking and multistability in the topological Kuramoto model on cell complexes
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Algorithm detects manifolds in ReLU RNNs revealing multistability
Detecting Invariant Manifolds in ReLU-Based RNNs
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Explicit formulas for Mather sets on [0,1] shift
Explicit formulae and topological descriptions of action-minimizing sets of a full shift with an uncountable alphabet $[0,1]$
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Conjecture on structure of intertwined polynomials proved
On intertwined polynomials
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No algorithm decides finite orbits for polynomial maps on integer tuples
Undecidability of Finite Orbit Recognition in Polynomial Maps
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Twisted crossed products form Banach algebras under contractive representations
Twisted crossed products of Banach algebras
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Moment bounds for multiplicative random sums hold at any order
A few notes on the asymptotic behavior of Rademacher random multiplicative functions
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Expected largest entry in random matrix products has simple formula
Easy estimates of Lyapunov exponents for random products of matrices
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Computer proofs certify traveling waves for suspension bridge equation
Existence proofs of traveling wave solutions on an infinite strip for the suspension bridge equation and proof of orbital stability
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Fourier proof finds traveling waves for suspension bridge PDE
Existence proofs of traveling wave solutions on an infinite strip for the suspension bridge equation and proof of orbital stability
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Dictionaries yield upper bounds on Koopman spectra in L^p
Residual SCI Upper Bounds And Lower Witnesses For Koopman Approximate Point Spectra In $L^p$ For $1<p<\infty$: Extended Version
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Horizontal straight lines remain geodesics after submersion in deep linear networks
Geodesics in the Deep Linear Network