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LIMIT THEOREMS FOR LOCALLY PERTURBED PLANAR LORENTZ PROCESSES
LOCALLY PERTURBED PLANAR PROCESSES
2015/9/29
Modify the scatterer conguration of a planar, nitehorizon Lorentz process in a bounded domain. Sinai asked in
1981 whether for the diffusively scaled variant of the modied
process convergence to Bro...
Motivated by Felix Klein’s notion that geometry is governed by its group of symmetry transformations, Charles Ehresmann initiated the study of geometric structures on
topological spaces locally model...
We introduce the concept of a locally finite abstract elementary class and develop the theory of excellence
(with respect to disjoint ( !, k)-amalgamation) for such classes. From this we find...
On large deviations in testing simple hypotheses for locally stationary Gaussian processes
Hypothesis testing Likelihood ratio Large deviations Locally stationary Gaussian processes Hoeffding bound Stein’s lemma Chernoff bound
2015/8/25
We derive a large deviation result for the log-likelihood ratio for testing simple hypotheses in locally stationary Gaussian processes. This result allows us to find explicitly the rates of exponentia...
Ising models on locally tree-like graphs
Ising model random sparse graphs cavity method Bethe measures belief propagation local weak convergence
2015/8/21
We consider Ising models on graphs that converge locally to trees. Examples include random regular graphs with bounded degree and uniformly random graphs with bounded average degree. We prove that the...
The weak limit of Ising models on locally tree-like graphs
Ising model the temperature the last beta sequence
2015/8/20
We consider the Ising model with inverse temperature β and without external field on sequences of graphs Gn which converge locally to the k-regular tree. We show that for such graphs the Ising m...
FACTOR MODELS ON LOCALLY TREE-LIKE GRAPHS
Factor models random graphs belief propagation Bethe measures Potts model independent set Gibbs measures free energy density local weak convergence
2015/8/20
We consider homogeneous factor models on uniformly sparse graph sequences converg-ing locally to a (unimodular) random tree T, and study the existence of the free energy density ,the limit of the log...
LOCALLY COMPACT,LOCALLY COUNTABLE SPACES AND RANDOM REALS
LOCALLY COMPACT LOCALLY COUNTABLE SPACES RANDOM REALS
2015/8/17
In this note I will present a proof that, assuming PFA, if R is a measure algebra then after forcing with R every uncountable locally compact locally countable cometrizable space contains an uncountab...
ON LOCALLY CONFORMALLY FLAT GRADIENT SHRINKING RICCI SOLITONS
SHRINKING RICCI SOLITONS CONFORMALLY FLAT
2015/8/17
In this paper, we first apply an integral identity on Ricci solitons to prove that
closed locally conformally flat gradient Ricci solitons are of constant sectional curvature.
We then ge...
CROSS CURVATURE FLOW ON LOCALLY HOMOGENEOUS THREE-MANIFOLDS (II)
CURVATURE FLOW THREE-MANIFOLDS
2015/8/17
In this paper, we study the positive cross curvature flow on locally
homogeneous 3-manifolds. We describe the long time behavior of these flows. We
combine this with earlier results conc...
BACKWARD RICCI FLOW ON LOCALLY HOMOGENEOUS THREE-MANIFOLDS
THREE-MANIFOLDS LOCALLY HOMOGENEOUS
2015/8/17
In this paper, we study the backward Ricci flow on locally homogeneous
3-manifolds. We describe the long time behavior and show that, typically and after
a proper re-scaling, there is converge...
CROSS CURVATURE FLOW ON LOCALLY HOMOGENOUS THREE-MANIFOLDS (I)
HOMOGENOUS THREE-MANIFOLDS CURVATURE FLOW
2015/8/17
Chow and Hamilton introduced the cross curvature flow on closed 3-
manifolds with negative or positive sectional curvature. In this paper, we study
the negative cross curvature flow in t...
On asymptotics of a tracer advected in a locally self-similar,correlated flow
On asymptotics tracer advected locally self-similar correlated flow
2015/7/14
In this paper we consider the motion of a tracer in a flow that is locally self-similar and whose correlations decay at infinity but at the rate that does not guarantee that the flow does not have ”me...
Locally D-optimal Designs Based on a Class of Models Combining an Emax and One-compartment Models
Locally D-optimal Designs Models Combining Emax and One-compartment Models
2015/3/20
Locally D-optimal Designs Based on a Class of Models Combining an Emax and One-compartment Models.
LOCALLY D-OPTIMAL DESIGNS BASED ON A CLASS OF MODELS COMBINING AN EMAX AND ONE-COMPARTMENT MODELS∗
MODELS COMBINING AN EMAX ONE-COMPARTMENT MODELS∗
2015/3/18
A class of models combining a pharmacokinetic compartmental
model and a pharmacodynamic Emax model is introduced. One 4-
parameter and another 5-parameter models in this class are studied.
These mo...