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From simplicial Chern-Simons theory to the shadow invariant II
simplicial Chern-Simons theory the shadow invariant II Mathematical Physics
2012/6/3
This is the second of a series of papers in which we develop a "discretization approach" for the rigorous realization of the non-Abelian Chern-Simons path integral for manifolds M of the form M=Sigma ...
Equivalence classes of the second order ODEs with the constant Cartan invariant
Invariant Equivalence Problem Ordinary Differential Equa-tion Point transformation Painleve equation
2011/6/30
Abstract: Second order ordinary differential equations that possesses the constant invariant are investigated. Four basic types of these equations were found. For every type the complete list of noneq...
On the new translational shape invariant potentials
new translational shape Gangopadhyaya Mallow Quantum Physics
2011/6/19
Abstract: Recently, several authors have found new translational shape invariant potentials not present in classic classifications like that of Infeld and Hull. For example, Quesne on the one hand and...
An invariant in shock clustering and Burgers turbulence
Shock clustering, stochastic coalescence, kinetic theory, Burgers turbulence, integrable systems, Loitsiansky invariant
2011/6/15
1-D scalar conservation laws with convex flux and Markov initial data are now known to yield a completely integrable Hamiltonian system. In this article, we rederive the analogue of Loitsiansky’s inva...
An invariant in shock clustering and Burgers turbulence
Shock clustering stochastic coalescence kinetic theory integrable systems Loitsiansky invariant
2011/6/15
Abstract: 1-D scalar conservation laws with convex flux and Markov initial data are now known to yield a completely integrable Hamiltonian system. In this article, we rederive the analogue of Loitsian...
Transitions in active rotator systems: invariant hyperbolic manifold approach
active rotator systems Normally hyperbolic manifolds Pulsating waves Neuronal models
2011/6/3
Abstract: Our main focus is on a general class of active rotators with mean field interactions, that is globally coupled large families of dynamical systems on the unit circle with non-trivial stochas...
Thinning Invariant Partition Structures
partition structure Poisson-Kingman partition structure spin glass
2011/6/1
Abstract: A partition structure is a random point process on $[0,1]$ whose points sum to 1, almost surely. In the case that there are infinitely many points to begin with, we consider a thinning actio...
General formulation of general-relativistic higher-order gauge-invariant perturbation theory
General formulation perturbation theory
2010/11/30
Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. After reviewing the general framework of the second-order gauge-invariant pe...
General formulation of general-relativistic higher-order gauge-invariant perturbation theory
General formulation general-relativistic higher-order gauge-invariant perturbation theory
2010/11/25
Gauge-invariant treatments of general-relativistic higher-order perturbations on generic back-
ground spacetime is proposed. After reviewing the general framework of the second-order gauge-
invarian...
We present a one-parameter extension of the raise and peel one-dimensional growth model. The model is defined in the configuration space of Dyck (RSOS) paths. Tiles from a rarefied gas hit the interfa...
We present a one-parameter extension of the raise and peel one-dimensional growth model. The model is defined in the configuration space of Dyck (RSOS) paths. Tiles from a rarefied gas hit the interfa...
Quantum Back-Reaction in Scale Invariant Induced Gravity
Quantum Back-Reaction Scale Invariant Induced Gravity
2010/11/1
A quartic, self-interacting potential in the induced gravity framework is known to have a pure
de Sitter attractor for the homogeneous mode. In order to obtain non-zero slow roll parameters
we there...
Gauge- and Galilei-invariant Geometric Phases
geometric phases gauge transformations Galilei transformations effect
2010/10/7
Neither geometric phases nor differences in geometric phases are generally invariant under time-dependent unitary transformations (unlike differences in total phases), in particular under local gauge ...
Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
2010/9/1
Classical generalization of general relativity is considered as gravitational alternative for unified description of the early-time inflation with late-time cosmic acceleration. The structur and cosmo...
A geometric invariant measuring the deviation from Kerr data
geometric invariant Kerr data
2010/1/25
A geometrical invariant for regular asymptotically Euclidean data for the vacuum Einstein field equations is constructed. This invariant vanishes if and only if the data corresponds to a slice of the ...