Found 295 results, showing the newest relevant preprints. Sort by relevancy only.Update me on new preprints

Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension

We consider the stochastic quantization of a quartic double-well energy functional in the semiclassical regime and derive optimal asymptotics for the exponentially small splitting of the ground state energy. Expand abstract.
6 days ago
5/10 relevant
arXiv

A Survey on Invariant Cones in Infinite Dimensional Lie Algebras

For the Lie algebra $\g$ of a connected infinite-dimensional Lie group~$G$, there is a natural duality between so-called semi-equicontinuous weak-*-closed convex Ad^*(G)-invariant subsets of the dual space $\g'$ and Ad(G)-invariant lower semicontinuous positively homogeneous convex functions on open convex cones in $\g$. Expand abstract.
8 days ago
10/10 relevant
arXiv

Non-coercive Lyapunov functions for input-to-state stability of infinite-dimensional systems

We consider an abstract class of infinite-dimensional dynamical systems with inputs. Expand abstract.
10 days ago
10/10 relevant
arXiv

On infinite-dimensional graded modular Lie algebras of maximal class generated by two elements of different weights

In this paper we study certain infinite-dimensional graded modular Lie algebras of maximal class generated by two elements of weights $1$ and $n$. Expand abstract.
11 days ago
10/10 relevant
arXiv

Entanglement Wedge Reconstruction of Infinite-dimensional von Neumann Algebras using Tensor Networks

Quantum error correcting codes with finite-dimensional Hilbert spaces have yielded new insights on bulk reconstruction in AdS/CFT. Expand abstract.
31 days ago
10/10 relevant
arXiv

Observer-based boundary control of distributed port-Hamiltonian systems

The main contribution is a constructive method which guarantees that the interconnection between the controller and the infinite-dimensional system is asymptotically stable. Expand abstract.
36 days ago
6/10 relevant
arXiv

Computing Casimir invariants from Pfaffian systems

We apply the method to various finite and infinite-dimensional examples, including a Poisson bracket embodying both finite and infinite-dimensional structure. Expand abstract.
36 days ago
6/10 relevant
arXiv

Stability Analysis of Perturbed Infinite-dimensional Sampled-data Systems

This paper addresses the stability analysis of infinite-dimensional sampled-data systems under unbounded perturbations. Expand abstract.
42 days ago
10/10 relevant
arXiv

PIETOOLS: A Matlab Toolbox for Manipulation and Optimization of Partial Integral Operators

These operators frequently appear in analysis and control of infinite-dimensional systems such as Partial Differential equations (PDE) and Time-delay systems (TDS). Expand abstract.
42 days ago
4/10 relevant
arXiv

Input-to-state stability of infinite-dimensional systems: recent results and open questions

In a pedagogical but exhaustive manner, this survey reviews the main results on input-to-state stability (ISS) for infinite-dimensional systems. Expand abstract.
42 days ago
10/10 relevant
arXiv