Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Bounds for tentacular Hamiltonians
View through CrossRef
This paper represents a first step toward the extension of the definition of Rabinowitz Floer homology to non-compact energy hypersurfaces in exact symplectic manifolds. More concretely, we study under which conditions it is possible to establish [Formula: see text]-bounds for the Floer trajectories of a Hamiltonian with non-compact energy levels. Moreover, we introduce a class of Hamiltonians, called tentacular Hamiltonians which satisfy the conditions: how to define Rabinowitz Floer homology for these examples will be the subject of a follow-up paper.
World Scientific Pub Co Pte Lt
Title: Bounds for tentacular Hamiltonians
Description:
This paper represents a first step toward the extension of the definition of Rabinowitz Floer homology to non-compact energy hypersurfaces in exact symplectic manifolds.
More concretely, we study under which conditions it is possible to establish [Formula: see text]-bounds for the Floer trajectories of a Hamiltonian with non-compact energy levels.
Moreover, we introduce a class of Hamiltonians, called tentacular Hamiltonians which satisfy the conditions: how to define Rabinowitz Floer homology for these examples will be the subject of a follow-up paper.
Related Results
Floer homology for ????-symplectic manifolds
Floer homology for ????-symplectic manifolds
(English) In this thesis we investigate various aspects of the dynamics of Hamiltonian vector fields in singular symplectic manifolds. We concentrate on two questions: first, we in...
Exhaustive Characterization of Quantum Many-Body Scars Using Commutant Algebras
Exhaustive Characterization of Quantum Many-Body Scars Using Commutant Algebras
We study quantum many-body scars (QMBS) in the language of commutant algebras, which are defined as symmetry algebras of of local Hamiltonians. This framework explains the origin ...
Rabinowitz Floer Homology for Tentacular Hamiltonians
Rabinowitz Floer Homology for Tentacular Hamiltonians
Abstract
This paper extends the definition of Rabinowitz Floer homology to non-compact hypersurfaces. We present a general framework for the construction of Rabinowi...
Sharpening Bounds on Principal Effects with Covariates
Sharpening Bounds on Principal Effects with Covariates
Summary
Estimation of treatment effects in randomized studies is often hampered by possible selection bias induced by conditioning on or adjusting for a variable mea...
Isospectral Twirling and Quantum Chaos
Isospectral Twirling and Quantum Chaos
We show that the most important measures of quantum chaos, such as frame potentials, scrambling, Loschmidt echo and out-of-time-order correlators (OTOCs), can be described by the u...
Hamiltonians of the Generalized Nonlinear Schrödinger Equations
Hamiltonians of the Generalized Nonlinear Schrödinger Equations
Some types of the generalized nonlinear Schrödinger equation of the second, fourth and sixth order are considered. The Cauchy problem for equations in the general case cannot be so...
Subexponential lower bounds for f-ergodic Markov processes
Subexponential lower bounds for f-ergodic Markov processes
AbstractWe provide a criterion for establishing lower bounds on the rate of convergence in f-variation of a continuous-time ergodic Markov process to its invariant measure. The cri...
Depth lower bounds in Stabbing Planes for combinatorial principles
Depth lower bounds in Stabbing Planes for combinatorial principles
Stabbing Planes (also known as Branch and Cut) is a proof system introduced
very recently which, informally speaking, extends the DPLL method by branching
on integer linear inequal...