Zobrazeno 1 - 10
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pro vyhledávání: '"Bridgeman , P"'
Autor:
Bridgeman, Martin, Bromberg, Kenneth
In a seminal paper, Epstein introduced the theory of what are now called Epstein surfaces, which construct surfaces in $\mathbb{H}^3$ associated to a conformal metric on a domain in $\hat{\mathbb{C}}$. More recently, these surfaces have been used by
Externí odkaz:
http://arxiv.org/abs/2402.15065
This work considers stochastic operators in general inner-product spaces, and in particular, systems with stochastically time-varying input delays of a known probability distribution. Stochastic dissipativity and stability are defined from an operato
Externí odkaz:
http://arxiv.org/abs/2401.02569
Autor:
Bridgeman, Martin, Bromberg, Kenneth
We bound the derivative of complex length of a geodesic under variation of the projective structure on a closed surface in terms of the norm of the Schwarzian in a neighborhood of the geodesic. One application is to cone-manifold deformations of acyl
Externí odkaz:
http://arxiv.org/abs/2310.10890
The L2-gain characterizes a dynamical system's input-output properties and is used for important control methods, like H-infinity control. However, gain can be difficult to determine for nonlinear systems. Previous work designed a nonconvex optimizat
Externí odkaz:
http://arxiv.org/abs/2309.08034
Imitation learning enables the synthesis of controllers for complex objectives and highly uncertain plant models. However, methods to provide stability guarantees to imitation learned controllers often rely on large amounts of data and/or known plant
Externí odkaz:
http://arxiv.org/abs/2309.06658
Autor:
Lavaei, Reza, Bridgeman, Leila J.
This paper provides a method to analyze the small-signal L2 gain of control-affine nonlinear systems on compact sets via iterative semi-definite programs. First, a continuous piecewise affine storage function and the corresponding upper bound on the
Externí odkaz:
http://arxiv.org/abs/2309.00517
Autor:
Bridgeman, Martin, Labourie, François
The moduli space of Anosov representations of a surface group in a semisimple group, which is an open set in the character variety, admits many more natural functions than the regular functions. We will study in particular length functions and, corre
Externí odkaz:
http://arxiv.org/abs/2307.04380
Publikováno v:
PRX Quantum 5, 020310, 2024
Topological subsystem codes in three spatial dimensions allow for quantum error correction with no time overhead, even in the presence of measurement noise. The physical origins of this single-shot property remain elusive, in part due to the scarcity
Externí odkaz:
http://arxiv.org/abs/2305.06365
Publikováno v:
Commun. Math. Phys. 402, 2691-2714 (2023)
The Schur orthogonality relations are a cornerstone in the representation theory of groups. We utilize a generalization to weak Hopf algebras to provide a new, readily verifiable condition on the skeletal data for deciding whether a given bimodule ca
Externí odkaz:
http://arxiv.org/abs/2211.01947
Robust imitation learning seeks to mimic expert controller behavior while ensuring stability, but current methods require accurate plant models. Here, robust imitation learning is addressed for stabilizing poorly modeled plants with linear dynamic ou
Externí odkaz:
http://arxiv.org/abs/2210.00979