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Every paper Pith has read. Search by title, abstract, or pith.
457 papers in math.DS · page 2
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NTK Kronecker core imposes low-rank bias on gradient descent
The Global Empirical NTK: Self-Referential Bias and Dimensionality of Gradient Descent Learning
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Greedy and lazy maps each have unique ACIM equivalent to Lebesgue on I_Q
Invariant measure for double base expansions
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Mucube straight-line flow periodic via SL(2,Z) subgroup
Straight-line trajectories on the Mucube
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Multi-timescale inhibition widens theta oscillator locking range
Dynamical mechanisms of flexible phase-locking in cortical theta oscillators
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Finite list of degree-four pre-foliations on P² classified for flat 4-webs
Homogeneous pre-foliations of co-degree one and degree four on the projective plane
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Training breaks attention clusters in late Transformer layers
Training-Induced Escape from Token Clustering in a Mean-Field Formulation of Transformers
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Quantum variance vanishes for operators on large hyperbolic surfaces
Quantum Ergodicity on large hyperbolic surfaces for local and pseudolocal operators
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Switching control makes gene densities forget their initial state
Predictive-Switching Control of Stochastic Gene Regulatory Networks: A Contractive PIDE Framework
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Proof validates transverse heteroclinic orbit in Shimizu-Morioka system
Computer-Assisted Proofs in Dynamical Systems: A Case Study of a Heteroclinic Orbit in the Shimizu--Morioka System
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SSM reduction enables efficient nonlinear analysis of rotating structures
Non-intrusive spectral submanifold model reduction for geometrically nonlinear rotating structures with Coriolis and centrifugal forces
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Exact algebraic phases derived for three identical Kuramoto oscillators
Global Analytical Solution of the Identical Kuramoto Model for N=3 via Koopman Eigenfunctions
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Minimal wave speed read from infinity in reaction-diffusion system
Minimal speed of unbounded traveling wave solutions for a 1D reaction-diffusion equation and their relationship with the dynamics at infinity
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Flowers limit expanding map subsets to linear complexity
Expanding Maps on Flowers, Interval Exchange Transformations, and Ergodic Optimization
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Rational eigenfunctions yield closed-form quadratic ODE solutions
Analytical solutions for some quadratic ODEs found via linear rational eigenfunctions and the rational eigenfunction variety
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Tiny analytic perturbations restore integrability to any order
Integrable perturbations of polynomial Hamiltonian systems
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Eigenfunctions of quantum cat maps equidistribute on the torus
Equidistribution of Eigenfunctions of Quantum Cat Maps
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Conjugacy class restriction preserves orbital growth asymptotics
Orbital Counting in Conjugacy Classes
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Badly approximable numbers split into winning and losing sets
$\delta$-Badly approximable numbers and ubiquitously losing sets
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2D Euclidean building lattices obey the normal subgroup property
The Normal Subgroup Theorem for lattices on two-dimensional Euclidean buildings
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Two-layer KANs recover symbolic Koopman dictionaries after training
Deep-Koopman-KANDy: Dictionary Discovery for Deep-Koopman Operators with Kolmogorov-Arnold Networks for Dynamics
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Martingale framework produces maximal large deviation estimates
Martingale Methods for Maximal Large Deviations and Young Towers
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Tangency multiplicity fixes counts of cycles emerging from grazing loops
Bifurcations of grazing loops of arbitrary tangent multiplicity in piecewise-smooth systems
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Blaschke products realize every post-critically finite multimodal circle map
Blaschke-type models for multimodal circle maps
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Discounted HJ equation stable only above critical threshold c0
On the inhomogeneous discounted Hamilton-Jacobi equations
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Exact symplectic map found for vibro-impact oscillator with friction
Mixed Global Dynamics of the Forced Vibro-Impact Oscillator with Coulomb Friction and its Symplectic Structure, KAM Tori, and Persistence
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Friction oscillator map is exact symplectic on non-sticking set
Mixed Global Dynamics of the Forced Vibro-Impact Oscillator with Coulomb Friction and its Symplectic Structure, KAM Tori, and Persistence
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Mean weak length is additive on exact sequences
Mean weak length
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Power-mean spectra for p-adic Schneider map given by polylogarithms
Multifractal analysis of power means for the Schneider map on $p\mathbb{Z}_p$
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Replicator trajectories miss fitness maxima without symmetry conditions
Chapter 2: Geometry of the Fitness Surface and Trajectory Dynamics of Replicator Systems
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r-continued-fraction maps beat Mersenne Twister in randomness tests
Producing Quality Pseudorandomness with a Generalized Gauss Continued-Fraction Map
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Measure-theoretic dynamics detailed for Baker domain boundaries
Boundaries of Baker domains of entire functions. A finer approach
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Koopman operators spot LLM hallucinations in one pass
Low-Cost Black-Box Detection of LLM Hallucinations via Dynamical System Prediction
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Convex optimization finds network changes to cut power transients
Minimizing the Expected Cost of Synchronization in Lossless Power Networks
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Most homogeneous self-similar measures admit a minimal weighted IFS
On the minimal generating weighted IFS of self-similar measure
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Generalized Markov-Hurwitz equations obey logarithmic asymptotics
The Logarithmic Asymptotic Phenomenon for Generalized Markov-Hurwitz Equations
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Bounds set on crossing limit cycles for most piecewise isochronous centers
Crossing limit cycles of discontinuous piecewise differential systems with Pleshkan's isochronous centers
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DATO and QMDA take different routes in data assimilation
From Classical to Quantum-Mechanical Data Assimilation: A Comparison between DATO and QMDA
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Residual derivatives fix first two Cantor-Bendixson levels
Residual stratification and the Cantor-Bendixson structures of dual algebraic coframes
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Stability criterion holds for all fractional orders in two-delay equations
Stability and Bifurcation Analysis of Fractional Delay Differential Equation with a Delay-dependent Coefficient
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Minimal Lagrangian count grows as A to the 6(k-1)
Counting Minimal Lagrangians Via Mirzakhani Functions
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Asymmetric crease coupling creates sequential origami deployment fronts
Programming sequential deployment of origami via kinematic transition fronts
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Chebyshev maps fix explicit numbers of points modulo p^k
Fixed-point lifting and ghost periodic points for Chebyshev polynomials modulo odd prime powers
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Most correspondences on P1 have only finitely many long rational orbits
Rational orbits under correspondences
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Periodic billiard orbits persist along deformation paths
Persistence of periodic billiard orbits under domain deformation
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Neural network outputs symbolic governing equations
Symbolic Regression via Neural Networks
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Power system DOA boundaries equal unions of stable manifolds
Calculating Domain of Attraction Boundary of Power Systems Based on the Gentlest Ascent Dynamics
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General dichotomies allow smooth linearization of nonautonomous systems
Smooth linearization of nonautonomous dynamics under general dichotomic behaviour
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Generic nine-point blowups make cubics nonlinearizable
Nonlinearizable embeddings of elliptic curves in rational surfaces
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Actions force random compacts to be finite or full almost surely
Invariant random compacts
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Reentrant fields on graphs form stable delayed reaction-diffusion systems
Reentrant value fields as delayed coupled reaction-diffusion systems on finite graphs