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Chapter and Conference Paper
Linkage studies of structure, isoenzymatic diversity and some biotechnological procedures for Salsola species under desert saline environments
One of the main undesirable consequences of the process of desertification in the Central Asia countries is an amplification of salinity process resulting in a wide development of saline soils. The amplificati...
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Chapter and Conference Paper
Small Deviation Estimates for Some Additive Processes
We study the small deviation probabilities for real valued additive processes. This naturally leads to the small deviation for the corresponding range process. Our general results can be applied to a wide rang...
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Chapter and Conference Paper
A Note on the Gaussian Correlation Conjecture
We show that a special setting of the well-known Gaussian correlation conjecture, namely for sets of equal measure, can be useful in proving the existence of small ball constants. We hope this sheds light on t...
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Chapter and Conference Paper
Some Shift Inequalities for Gaussian Measures
Let μ be a centered Gaussian measure on a Banach space B and suppose h∈H μ, the generating Hilbert space of ∈. If E is a Borel subset of B, we establish some inequalities between ∈.(E) and ∈(E+h) wh...
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Chapter and Conference Paper
A Central Limit Theorem for the Sock-Sorting Problem
The problem of arranging 2n objects into n pairs in a prescribed way, when the objects are presented one at a time in random order, is considered. Using tools from the theory of empirical processes, we derive a f...
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Chapter and Conference Paper
Some Large Deviation Results for Gaussian Measures
Let B denote a real separable Banach space with norm || · || and topological dual B*, and assume X is a centered B-valued Gaussian random vector with μ = L(X). If B is a Hilbert space H, then in [5] we obtained t...