Gradient flows without blow-up for Lefschetz thimbles
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep10(2017)100
Abstract: A bstractWe propose new gradient flows that define Lefschetz thimbles and do not blow up in a finite flow time. We study analytic properties of these gradient flows, and confirm them by numerical tests in… read more here.
Keywords: without blow; flows without; lefschetz thimbles; gradient flows ... See more keywords
A variational finite volume scheme for Wasserstein gradient flows
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DOI: 10.1007/s00211-020-01153-9
Abstract: We propose a variational finite volume scheme to approximate the solutions to Wasserstein gradient flows. The time discretization is based on an implicit linearization of the Wasserstein distance expressed thanks to Benamou-Brenier formula, whereas space… read more here.
Keywords: finite volume; gradient flows; scheme; wasserstein gradient ... See more keywords
Maximum time step for the BDF3 scheme applied to gradient flows
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DOI: 10.1007/s10092-020-00393-3
Abstract: For backward differentiation formulae (BDF) applied to gradient flows of semiconvex functions, quadratic stability implies the existence of a Lyapunov functional. We compute the maximum time step which can be derived from quadratic stability for… read more here.
Keywords: applied gradient; step; bdf3 scheme; gradient flows ... See more keywords
On the decay rate for degenerate gradient flows subject to persistent excitation
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DOI: 10.1016/j.ifacol.2020.12.2246
Abstract: Abstract In this paper, we study the worst rate of exponential decay for degenerate gradient flows in ℝn of the form ẋ(t) = —c(t)c(t)Tx(t), issued from adaptative control theory, under a persistent excitation (PE) condition.… read more here.
Keywords: gradient flows; degenerate gradient; rate; persistent excitation ... See more keywords
Kurdyka–Łojasiewicz–Simon inequality for gradient flows in metric spaces
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DOI: 10.1090/tran/7801
Abstract: This paper is dedicated to providing new tools and methods for studying the trend to equilibrium of gradient flows in metric spaces in the entropy and metric sense, to establish decay rates, finite time of… read more here.
Keywords: metric spaces; gradient flows; flows metric; simon inequality ... See more keywords