منابع مشابه
A Remark on Dobrushin's Uniqueness Theorem
Ten years ago, Dobrushin [1] proved a beautiful result showing that under suitable hypotheses, a statistical mechanical lattice system interaction has a unique equilibrium state. In particular, there is no long range order, etc. see [6,7] for related material, Israel [4] for analyticity results and Gross [3] for falloff of correlations. There does not appear to have been systematic attempts to ...
متن کاملA Uniqueness Theorem for Clustering
Despite the widespread use of Clustering, there is distressingly little general theory of clustering available. Questions like “What distinguishes a clustering of data from other data partitioning?”, “Are there any principles governing all clustering paradigms?”, “How should a user choose an appropriate clustering algorithm for a particular task?”, etc. are almost completely unanswered by the e...
متن کاملKamke's Uniqueness Theorem
A generalization of Kamke's uniqueness theorem in ordinary differential equations is obtained for the limit Cauchy problem, viz x'{t) = f(t, x(t)), x{t) -> x0 as 1J10, where / and x take values in an arbitrary normed linear space X and the initial point {t0, x0) is permitted to be on the boundary of the domain of/. Kamke's hypothesis that \\f(t,x)-f{t,y)\\ < <(>(\t-to\, ||x-,y||) is replaced by...
متن کاملOn a Watson-like Uniqueness Theorem and Gevrey Expansions
In recent decades it has been realized (B. Malgrange, J. Ecalle, J.-P. Ramis, Y. Sibuya et al.), that the formal power series solutions of a wide range of systems of ordinary (even non-linear) analytic differential equations are in fact the Gevrey expansions for the regular solutions. Watson's uniqueness theorem belongs to the foundations of this new theory. This paper contains a discussion of ...
متن کاملA uniqueness theorem for solution of BSDEs
where W is a standard d-dimensional Brownian motion on a probability space (Ω,F , (Ft)0≤t≤T , P ) with (Ft)0≤t≤T the filtration generated by W . The function g : Ω × [0, T ] × R × R → R is called generator of (1.1). Here T is the terminal time, and ξ is a R-valued FT -adapted random variable; (g, T, ξ) are the parameters of (1.1). The solution (yt, zt)t∈[0,T ] is a pair of Ft-adapted and square...
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: Nagoya Mathematical Journal
سال: 1969
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000013076