منابع مشابه
Application of an averaging principle on foliated diffusions: topology of the leaves*
We consider an K transversal perturbing vector field in a foliated Brownian motion defined in a foliated tubular neighbourhood of an embedded compact submanifold in R. We study the effective behaviour of the system under this perturbation. If the perturbing vector field K is proportional to the Gaussian curvature at the corresponding leaf, we have that the transversal component, after rescaling...
متن کاملAveraging along Uniform Random Integers
Motivated by giving a meaning to “The probability that a random integer has initial digit d”, we define a URI-set as a random set E of natural integers such that each n ≥ 1 belongs to E with probability 1/n, independently of other integers. This enables us to introduce two notions of densities on natural numbers: The URI-density, obtained by averaging along the elements of E, and the local URI-...
متن کامل#-cobordisms with Foliated Control
We announce a foliated version of Ferry's metric h-cobordism theorem [13]. Let M be a compact Riemarinian manifold and 7 a smooth foliation of M such that the sectional curvatures of the leaves of 7 are zero. There are numbers a > 0 (depending only on dim(M)) and 6 > 0 (depending on M and 7) so that if W is an h-cobordism over M having 6 control in the directions perpendicular to 7 and having a...
متن کاملFirst exit times for Lévy - driven diffusions with exponentially light jumps
We consider a dynamical system described by the differential equation ˙ Y t = −U ′ (Y t) with a unique stable point at the origin. We perturb the system by Lévy noise of intensity ε, to obtain the stochastic differential equation dX ε t = −U ′ (X ε t−)dt + εdL t. The process L is a symmetric Lévy process whose jump measure ν has exponentially light tails, ν([u, ∞)) ∼ exp(−u α), α > 0, u → ∞. We...
متن کاملHodge Cohomology of Some Foliated Boundary and Foliated Cusp Metrics
For fibred boundary and fibred cusp metrics, Hausel, Hunsicker, and Mazzeo identified the space of L harmonic forms of fixed degree with the images of maps between intersection cohomology groups of an associated stratified space obtained by collapsing the fibres of the fibration at infinity onto its base. In the present paper, we obtain a generalization of this result to situations where, rathe...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinear Analysis: Theory, Methods & Applications
سال: 2015
ISSN: 0362-546X
DOI: 10.1016/j.na.2014.09.006