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ON STRONG LOCAL ALIGNMENT IN THE KINETIC CUCKER-SMALE MODEL
STRONG LOCAL ALIGNMENT KINETIC CUCKER-SMALE MODEL
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2015/10/15
In the recent papers [4, 5] the authors study the existence of weak solutions and the hydrodynamic limit of kinetic flocking equations with strong local alignment. The introduction of a strong local a...
The thin film equation with non zero contact angle:A singular perturbation approach
thin film equation non zero contact angle singular perturbation approach
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2015/10/15
In this paper we prove the existence of weak solutions for the thin film equation with prescribed non zero contact angle and for a large class of mobility coefficients, in dimension 1. The existence o...
COHOMOLOGY OPERATIONS AND INVERTING THE MOTIVIC BOTT ELEMENT
COHOMOLOGY OPERATIONS AND INVERTING BOTT ELEMENT
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2015/9/29
In this note we explore the relationships between the motivic cohomology operations and the (classical)
cohomology operations defined on mod-l ′etale cohomology. More precisely we show that the...
ZERO LOCI OF ADMISSIBLE NORMAL FUNCTIONS WITH TORSION SINGULARITIES
NORMAL FUNCTIONS TORSION SINGULARITIES
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2015/9/29
We show that the zero locus of a normal function on a smooth
complex algebraic variety S is algebraic provided that the normal function extends to a admissible normal function on a smooth compacti...
REPULSION FROM RESONANCES
REPULSION FROM RESONANCES occasional jumps
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2015/9/29
We consider slow-fast systems with periodic fast motion and integrable slow motion in the presence of both weak and
strong resonances. Assuming that the initial phases are random
and that appropriat...
ESSENTIAL DIMENSION OF ABELIAN VARIETIES OVER NUMBER FIELDS
ESSENTIAL DIMENSION OVER NUMBER FIELDS
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2015/9/29
We affirmatively answer a conjecture in the preprint “Essential
dimension and algebraic stacks,” proving that the essential dimension of an
abelian variety over a number field is inʂ...
LECTURES ON U-GIBBS STATES
LECTURES ON U-GIBBS STATES Index difference
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2015/9/29
An important problem in smooth ergodic theory is to understand an
appearance of chaotic behavior in systems governed by deterministic
laws. Now it is understood that chaotic behavior is caused by th...
MULTIFRACTAL PROPERTIES OF THE SETS OF ZEROES OF BROWNIAN PATHS
independent random variables Brownian motion local time Hausdor
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2015/9/29
In this paper we study Brownian zeroes in the neighborhood of which one can observe non-typical growth
rate of Brownian excursions. We interprete the multifractal curve for the Brownian zeroes calcul...
BOUNDED ORBITS OF ANOSOV FLOWS
ANOSOV FLOWS BOUNDED ORBITS
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2015/9/29
In this paper we develop a symbolic dynamics approach to a problem
of studing of dimensional characteristics of the set of bounded geodesics on
manifolds of negative curvature.
ON DECAY OF CORRELATIONS IN ANOSOV FLOWS
ANOSOV FLOWS CORRELATIONS
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2015/9/29
There is some disagreement about the meaning
of the phrase 'chaotic
ow.' However, there is no doubt that mixing Anosov
ows provide an example of such systems. Anosov systems were introduced
and...
ON DYNAMICS OF MOSTLY CONTRACTING DIFFEOMORPHISMS
dynamics mapping
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2015/9/29
Mostly contracting di eomorphisms are the simplest
examples of robustly nonuniformly hyperbolic systems. This paper studies the mixing properties of mostly contracting di eomorphisms.
THE ENTROPY THEORY OF SYMBOLIC EXTENSIONS
ENTROPY THEORY SYMBOLIC EXTENSIONS
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2015/9/29
Fix a topological system (X, T), with its space K(X, T) of Tinvariant Borel probabilities. If (Y, S) is a symbolic system (subshift) and ϕ : (Y, S) → (X, T) is a topological extension (factor map...
SOME SOFIC SHIFTS CANNOT COMMUTE WITH NONWANDERING SHIFTS OF FINITE TYPE
SOME SOFIC SHIFTS NONWANDERING SHIFTS FINITE TYPE
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2015/9/29
Suppose S is a nonwandering shift of finite type (SFT), and T is an expansive automorphism of S. We show T cannot be a strictly sofic almost Markov shift. Also included is an example of D. Fiebig, a r...
AVERAGING AND INVARIANT MEASURES
AVERAGING AND INVARIANT MEASURES Power system
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2015/9/29
An important approach to establishing stochastic behavior of dynamical systems is based on the study of systems expanding a foliation and of measures having smooth densities along
the leaves of this ...
ALMOST ISOMORPHISM FOR COUNTABLE STATE MARKOV SHIFTS
ALMOST ISOMORPHISM COUNTABLE STATE MARKOV SHIFTS
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2015/9/29
Countable state Markov shifts are a natural generalization of the well-known subshifts of finite type. They are the subject of current research both for their own sake and as models for smooth dynamic...