archive
Every paper Pith has read. Search by title, abstract, or pith.
1063 papers in math.DS · page 16
-
Disintegration maps flag metric measure foliations
Characterization of foliations via disintegration maps
-
Strong foliation mapping yields weak conjugacy smoothness
Rigidity of strong and weak foliations
-
Policing intensity crosses thresholds for crime hotspots or cycles
Global Bifurcations and Pattern Formation in Target-Offender-Guardian Crime Models
-
Boltzmann entropy derived for deep linear networks
An entropy formula for the Deep Linear Network
-
Log of fixed points matches Teichmuller length under irreducibility
On fixed points of pseudo-Anosov maps
-
RNN memory notions unify into equivalences and new proofs
Echoes of the Past: A Unified Perspective on Fading memory and Echo States
-
Liquid crystal shear flows switch stability at critical speeds
Bifurcation and stability of stationary shear flows of Ericksen-Leslie model for nematic liquid crystals
-
Koopman method predicts epidemic peaks in SIRSD model
A Koopman Operator Framework for Nonlinear Epidemic Dynamics: Application to an SIRSD Model
-
Gates in RNNs create lag-dependent effective learning rates
Time-Scale Coupling Between States and Parameters in Recurrent Neural Networks
-
Perturbed maps with countably many branches keep stable measures
Statistical stability for systems semi-conjugate to pre-piecewise \textit{convex or expanding} maps with countably many branches
-
Model finds grazing duration thresholds for plant survival
Grazing duration and intensity modulate vegetation dynamics in semi-arid ecosystems with seasonal succession
-
Automorphisms fixing group algebra equal Weyl group of G
Weyl groups and rigidity of von Neumann algebras
-
Reduced C*-algebras of infinite groups with free boundaries are selfless
Proximality and selflessness for group C*-algebras
-
Fading memory holds generically without echo states
Stochastic dynamics learning with state-space systems
-
Oscillatory chains around 1/4 yield diverging deviation sums
Construction and Characterization of Oscillatory Chain Sequences
-
MNUSE property yields physical measures for singular attractors in any codimension
Mostly nonuniformly sectional expanding systems
-
No rational vectors for non-univariate period 4 in quadratic replacement
Replacement dynamics of binary quadratic forms
-
NSFD scheme keeps SEIQR disease model positive and bounded
A Nonstandard Finite Difference Scheme for an SEIQR Epidemiological PDE Model
-
Magnetic systems of strong geodesic type are non-contact below Mañé threshold
On the contact type conjecture for exact magnetic systems
-
Pairwise uniform maps characterize Schottky sets on the sphere
Quasiconformal characterization of Schottky sets
-
Undecidability of Θ(n)-block gluing shown for homshifts
Undecidability of the block gluing classes of homshifts
-
Discrete symmetries make some parameters non-globally identifiable
Structural Identifiability and Discrete Symmetries
-
Two parameter changes explain varied norepinephrine effects on breathing neurons
Dual Mechanisms for Heterogeneous Responses of Inspiratory Neurons to Noradrenergic Modulation
-
Blur shifts give maximizing measures for countable alphabet shifts
Maximizing measures for countable alphabet shifts via blur shift spaces
-
Rotation parameter shifts Alpha Group ODEs to non-Euclidean dynamics
The Extended Alpha Group Dynamic Mapping
-
Posterior for 2D Navier-Stokes assimilation converges to Gaussian
Data assimilation with the 2D Navier-Stokes equations: Optimal Gaussian asymptotics for the posterior measure
-
Kernel conditions ensure unique stationary measures
Uniqueness of stationary compatible probability measures for chains of infinite order with forbidden transitions
-
Polygonal dynamics collapse to polynomial roots
Collapsing in polygonal dynamics
-
Condition extends IFS dynamics to unit disc boundary
A note on the boundary dynamics of holomorphic iterated function systems
-
Quantum rules select brief intervals for dynamic stability
Optimal dynamical stabilization
-
Slow manifolds enable reduced models for neuron and clock systems
Reduced Order Modeling of Nonlinear Dynamical Systems Using Slow Manifolds
-
Typical Arnol'd flows have minimal self-joinings
Special flow systems with the minimal self-joining property
-
Long-time relative error explains growth at all times in linear ODEs
Long-time relative error analysis for linear ordinary differential equations with perturbed initial value
-
Discretization preserves enstrophy and kinetic energy in 2D Navier-Stokes
Structure-preserving space discretization of differential and nonlocal constitutive relations for port-Hamiltonian systems
-
Free groups admit comeager classes of minimal Cantor actions
Dense and comeager conjugacy classes in zero-dimensional dynamics
-
Bielliptic surfaces admit positive categorical entropy
A Note on Categorical Entropy of Bielliptic Surfaces and Enriques Surfaces
-
Return time CLT implies functional CLT for hyperbolic systems
Nonstandard functional central limit theorem for nonuniformly hyperbolic dynamical systems, including Bunimovich stadia
-
JacobianODE recovers control maps between subsystems from data
Characterizing control between interacting subsystems with deep Jacobian estimation
-
Constant magnetic field renders sphere geodesics integrable
Integrability of the magnetic geodesic flow on the sphere with a constant 2-form
-
Savanna patterns can block or force grassland collapse
Vegetation Patterning Can Both Impede and Trigger Critical Transitions from Savanna to Grassland
-
Positive-entropy ergodic measures for flows are expansive
On the Invariance of Expansive Measures for Flows
-
Quasidiagonal approximations determine entropy for simple C*-algebras
Brown-Voiculescu entropy revisited
-
Attracting-level filtrations quantify trajectory sensitivity
Filtrations Indexed by Attracting Levels and their Applications
-
Hybrid polynomials plus neural nets raise accuracy on invariant manifolds
Invariant Manifolds of Discrete-time Dynamical Systems with Nonlinear Exosystems via Hybrid Physics-Informed Neural Networks
-
Covering condition is necessary and sufficient for T-discrete exponential attractors
A panoramic view of exponential attractors
-
Data-driven truncation yields reduced second-order models with damping structure
Data-driven balanced truncation for second-order systems with generalized proportional damping
-
Conjugacy decides extra periodic curves for products of rational maps
Periodic curves for general endomorphisms of $\mathbb C\mathbb P^1\times \mathbb C\mathbb P^1$
-
Nilmanifold automorphisms mix super-exponentially
Multiple Fractional Cohomological Equations and Quantitative Mixing on Nilmanifolds
-
Weak separation on axes gives exact dimensions for self-affine carpets
Weakly separated self-affine carpets
-
Cross-diffusion produces vegetation patterns from toxicity alone
Beyond water limitation in vegetation-autotoxicity patterning: a cross-diffusion model