Results 11 to 20 of about 4,160,291 (71)

Comparison theorem of one-dimensional stochastic hybrid delay systems [PDF]

open access: yes, 2008
The comparison theorem of stochastic differential equations has been investigated by many authors. However, little research is available on the comparison theorem of stochastic hybrid systems, which is the topic of this paper.
Yuan, Chenggui, Mao, Xuerong, Yang, Zhe
core   +4 more sources

The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications [PDF]

open access: yes, 2008
This paper deals with a class of backward stochastic differential equations with Poisson jumps and with random terminal times. We prove the existence and uniqueness result of adapted solution for such a BSDE under the assumption of non-Lipschitzian ...
Mao, Xuerong   +2 more
core   +4 more sources

Rich, Sturmian, and trapezoidal words [PDF]

open access: yes, 2008
In this paper we explore various interconnections between rich words, Sturmian words, and trapezoidal words. Rich words, first introduced by the second and third authors together with J. Justin and S. Widmer, constitute a new class of finite and infinite
Zamboni, L.   +7 more
core   +1 more source

Quasiperiodic and Lyndon episturmian words [PDF]

open access: yes, 2008
Recently the second two authors characterized quasiperiodic Sturmian words, proving that a Sturmian word is non-quasiperiodic if and only if, it is an infinite Lyndon word.
Amy Glen   +8 more
core   +1 more source

Occurrences of palindromes in characteristic Sturmian words [PDF]

open access: yes, 2006
This paper is concerned with palindromes occurring in characteristic Sturmian words cα of slope α, where α∈(0,1) is an irrational. As cα is a uniformly recurrent infinite word, any (palindromic) factor of cα occurs infinitely many times in cα with ...
Glen, Amy, Glen, Amy Louise, Glen, A.
core   +1 more source

Episturmian words: a survey [PDF]

open access: yes, 2007
In this paper, we survey the rich theory of infinite episturmian words which generalize to any finite alphabet, in a rather resembling way, the well-known family of Sturmian words on two letters.
Justin, J.   +5 more
core   +1 more source

Conjugates of characteristic Sturmian words generated by morphisms [PDF]

open access: yes, 2004
This article is concerned with characteristic Sturmian words of slope α and 1-α (denoted by cα and c1-α resp.), where α∈(0,1) is an irrational number such that α=[0;1+d1,d2,..., dn] with dn≥d1≥1.
Glen, Amy   +3 more
core   +1 more source

Powers in a class of A-strict standard episturmian words [PDF]

open access: yes, 2007
This paper concerns a specific class of strict standard episturmian words whose directive words resemble those of characteristic Sturmian words. In particular, we explicitly determine all integer powers occurring in such infinite words, extending recent ...
Glen, Amy, Glen, A.
core   +1 more source

A characterization of fine words over a finite alphabet [PDF]

open access: yes, 2006
To any infinite word t over a finite alphabet A we can associate two infinite words min (t) and max (t) such that any prefix of min (t) (resp. max (t)) is the lexicographically smallest (resp. greatest) amongst the factors of t of the same length. We say
Glen, Amy, Glen, A.
core   +1 more source

Convergent Disfocality and Nondisfocality Criteria for Second‐Order Linear Differential Equations

open access: yesAbstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
This paper presents a method to determine whether the second‐order linear differential equation y′′ + q(x)y = 0 is either disfocal or nondisfocal in a fixed interval. The method is based on the recursive application of a linear operator to certain functions and yields upper and lower bounds for the distances between a zero and its adjacent critical ...
Pedro Almenar   +2 more
wiley   +1 more source

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