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Hamiltonian Monte Carlo with Reduced Momentum Flips
Hamiltonian Monte Carlo Reduced Momentum Flips Data Analysis Statistics and Probability
2012/5/29
Hamiltonian Monte Carlo (or hybrid Monte Carlo) with partial momentum refreshment explores the state space more slowly than it otherwise would due to the momentum reversals which occur on proposal rej...
"Quantization" of higher hamiltonian analogues of the Painleve I and Painleve II equations with two degrees of freedom
Quantization higher hamiltonian analogues Painleve I Painleve II equations Exactly Solvable and Integrable Systems
2012/4/27
We construct a solution of an analog of the Schr\"{o}dinger equation for the Hamiltonian $ H_I (z, t, q_1, q_2, p_1, p_2) $ corresponding to the second equation $P_1^2$ in the Painleve I hierarchy. Th...
Dimension of the moduli space and Hamiltonian analysis of BF field theories
Index theorem moduli space Hamiltonian dynamics
2011/9/22
Abstract: By using the Atiyah-Singer theorem through some similarities with the instanton and the anti-instanton moduli spaces, the dimension of the moduli space for two and four-dimensional BF theori...
A solution of the non-uniqueness problem of the Dirac Hamiltonian and energy operators
non-uniqueness problem Dirac Hamiltonian energy operators General Relativity and Quantum Cosmology
2011/10/9
Abstract: In a general spacetime, the possible choices for the field of orthonormal tetrads lead (in standard conditions) to equivalent Dirac equations. However, the Hamiltonian operator is got from r...
Hamiltonian study for Chern-Simons and Pontryagin theories
Hamiltonian study Chern-Simons Pontryagin theories Mathematical Physics
2011/9/15
Abstract: The Hamiltonian analysis for the Chern-Simons theory and Pontryagin invariant, which depends of a connection valued in the Lie algebra of SO(3,1), is performed. By applying a pure Dirac's me...
Hamiltonian dynamics for Einstein's action in G$\rightarrow$0 limit
Hamiltonian dynamics Einstein's action Mathematical Physics
2011/9/15
Abstract: The Hamiltonian analysis for the Einstein's action in $ G\to 0 $ limit is performed. Considering the original configuration space without involve the usual $ADM$ variables we show that the v...
Dynamical Symmetries of Dirac Hamiltonian
Dynamical Symmetries Dirac Hamiltonian High Energy Physics - Phenomenology
2011/10/10
Abstract: Several dynamical symmetries of the Dirac hamiltonian are reviewed in a systematic manner and the conditions under which such symmetries hold. These includes relativistic spin and orbital an...
Andreev reflection and the semiclassical Bogoliubov-de Gennes Hamiltonian: resonant states
the semiclassical Bogoliubov-de Gennes Hamiltonian resonant states Mathematical Physics
2011/8/25
Abstract: We present a semi-classical analysis of the opening of superchannels in gated mesoscopic SNS junctions. For perfect junctions (i.e. hard-wall potential), this was considered by Chtchelkatche...
Hamiltonian Dynamics of Spatially-Homogeneous Vlasov-Einstein Systems
Hamiltonian Dynamics Spatially-Homogeneous Vlasov-Einstein Systems
2011/9/15
We introduce a new matter action principle, with a wide range of applicability, for the Vlasov equation in terms of a conjugate pair of functions. Here we apply this action principle to the study of m...
Hamiltonian Dynamics of Spatially-Homogeneous Vlasov-Einstein Systems
Hamiltonian Dynamics Spatially-Homogeneous Vlasov-Einstein Systems Plasma Physics
2011/7/28
Abstract: We introduce a new matter action principle, with a wide range of applicability, for the Vlasov equation in terms of a conjugate pair of functions. Here we apply this action principle to the ...
Exact results for anomalous transport in one dimensional Hamiltonian systems
results one dimensional Hamiltonian systems anomalous transport
2011/9/14
Anomalous transport in one-dimensional translation invariant Hamiltonian systems with short range interactions, is shown to belong in general to the KPZ universality class. Exact asymptotic forms for ...
Lagrangian-Hamiltonian unified formalism for autonomous higher-order dynamical systems
Higher-order systems Lagrangian and Hamiltonian formalisms Symplectic and presymplectic manifolds
2011/7/26
Abstract: The Lagrangian-Hamiltonian unified formalism of R. Skinner and R. Rusk was originally stated for autonomous dynamical systems in classical mechanics. It has been generalized for non-autonomo...
On a class of three dimensional quadratic Hamiltonian systems
Hamiltonian dynamics quadratic Hamiltonian systems normal forms
2011/7/26
Abstract: The purpose of this article is to compute the normal form of a class of general quadratic Hamiltonian systems that generalizes naturally Euler's equations from the free rigid body dynamics.
Exact results for anomalous transport in one dimensional Hamiltonian systems
anomalous transport dimensional Hamiltonian systems Statistical Mechanics
2011/7/28
Abstract: Anomalous transport in one dimensional translation invariant Hamiltonian systems with short range interactions, is shown to belong in general to the KPZ universality class. Exact asymptotic ...
On a Hamiltonian version of a 3D Lotka-Volterra system
Hamiltonian dynamics Lotka-Volterra system stability of equilibria
2011/7/25
Abstract: In this paper we present some relevant dynamical properties of a 3D Lotka-Volterra system from the Poisson dynamics point of view.