On a uniqueness property of supercuspidal unipotent representations

2021 ◽

Vol 0 (0) ◽

Author(s):

Oussama El Barrimi ◽

Youssef Ouknine

Keyword(s):

Brownian Motion ◽

Differential Equations ◽

Stochastic Differential Equations ◽

Stationary Process ◽

Strong Stability ◽

Pathwise Uniqueness ◽

Uniqueness Property ◽

Selection Theorem ◽

Multifractional Brownian Motion ◽

Stability Results

Abstract Our aim in this paper is to establish some strong stability results for solutions of stochastic differential equations driven by a Riemann–Liouville multifractional Brownian motion. The latter is defined as a Gaussian non-stationary process with a Hurst parameter as a function of time. The results are obtained assuming that the pathwise uniqueness property holds and using Skorokhod’s selection theorem.

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Some small unipotent representations of indefinite orthogonal groups

Journal of Functional Analysis ◽

10.1016/j.jfa.2003.09.003 ◽

2004 ◽

Vol 213 (2) ◽

pp. 290-320 ◽

Cited By ~ 4

Author(s):

Peter E Trapa

Keyword(s):

Orthogonal Groups ◽

Unipotent Representations

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Local uniqueness of certain geodesics related to Heegaard splittings

Journal of Knot Theory and Its Ramifications ◽

10.1142/s0218216518420038 ◽

2018 ◽

Vol 27 (09) ◽

pp. 1842003

Author(s):

Liang Liang ◽

Fengling Li ◽

Fengchun Lei ◽

Jie Wu

Keyword(s):

Heegaard Splitting ◽

Sufficient Condition ◽

Heegaard Splittings ◽

Local Uniqueness ◽

Uniqueness Property

Suppose [Formula: see text] is a Heegaard splitting and [Formula: see text] is an essential separating disk in [Formula: see text] such that a component of [Formula: see text] is homeomorphic to [Formula: see text], [Formula: see text]. In this paper, we prove that if there is a locally complicated simplicial path in [Formula: see text] connecting [Formula: see text] to [Formula: see text], then the geodesic connecting [Formula: see text] to [Formula: see text] is unique. Moreover, we give a sufficient condition such that [Formula: see text] is keen and the geodesic between any pair of essential disks on the opposite sides has local uniqueness property.

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Hierarchies over recursive well-orderings

Journal of Symbolic Logic ◽

10.2307/2270372 ◽

1964 ◽

Vol 29 (4) ◽

pp. 183-190 ◽

Cited By ~ 4

Author(s):

Herbert Enderton ◽

David Luckham

Keyword(s):

Uniqueness Property ◽

Ordinal Notations ◽

Degrees Of Unsolvability

In the original example of a transfinite hierarchy of degrees of unsolvability, a predicate Ha is associated with each a in the set 0 of ordinal notations. (See Kleene [K1], Spector [S1], and the references there to Davis and Mostowski.) The predicates are defined by means of induction over the partial well-ordering relation ≤0 on the set 0 of notations for the recursive ordinals. The usefulness of this hierarchy of predicates is enhanced by Spector's proof [S1] of the “uniqueness” property: viz. that the degree of Ha depends only on the ordinal |a| for which a is a notation.

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