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Article
On the problem concerned with the study of the effect of the ratios of the geometrical dimensions of a cantilever plate on the plate modes of vibration
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It has been established that the relationship between the ordinal number of the natural frequency of the lowe...
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Article
Limits of application of the oscillation theory of thin-walled rods
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An empirical relationship has been proposed between the calculated and actual frequencies which allows the Vl...
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Article
Applicability of the theory of rods to the vibrations of beams of bisymmetrical cross section
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Article
Heat and mass transfer in a twisted gas-liquid layer
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Article
Device for strengthening-finishing rolling of rolls
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Article
Mutations in conserved domains of U14 RNA impair 18S ribosomal RNA production in Saccharomyces cerevisiae
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Article
A hybridized displacement discontinuity and indirect boundary element method to model fracture propagation
In mechanical modelling of fracture propagation, complications arise from the stress concentrations at the fracture tips and nonlinear responses caused by opening/closing of fractures, by nonlinear constitutiv...
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Article
Comparison results for the lower tail of Gaussian seminorms
Let ξ=(ξ n ) be i.i.d.N(0, 1) random variables andq(x), q′(x):R ∞→[0, ∞) be seminorms. We investigate necessary and sufficient conditions that the ratio ofP(q(ξ)<ε) andP(q′(ξ)<ε)...
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Chapter
On the Lower Tail of Gaussian Measures on l p
Throughout this paper \( (\xi_k)_{k=1}^{\infty} \) denotes a sequence of independent, centered, Gaussian random varia...
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Article
Lim inf results for the Wiener process and its increments under theL 2-norm
LetW(t) be a Wiener process. The lim inf behavior of theL 2-norm ofW(t) on the interval [T-a(T), T] and of |W(t+θT)−W(t)| on the interval [αT, βT] is given under suitable conditions.
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Article
Small ball estimates for Brownian motion and the Brownian sheet
Small ball estimates are obtained for Brownian motion and the Brownian sheet when balls are given by certain Hölder norms. As an application of these results we include a functional form of Chung's LIL in this...
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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...
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Article
The Gaussian measure of shifted balls
Let μ be a centered Gaussian measure on a Hilbert spaceH and let \(B_R \subseteq H\) be the centered ball of radiusR>0. Fora∈
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Article
On the future infima of some transient processes
Let (X(t), t∈S) be a real-valued stochastic process with ℙ(X(0)=0)=1 and $$\mathbb{P} (\mathop {\lim }\limits_{t \to \infty } X(t) = \infty ) ...
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Article
Introduction of new technologies — The basis of operation of the chief mechanic's office
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Article
Small ball probabilities for Gaussian processes with stationary increments under Hölder norms
Small ball probabilities are estimated for Gaussian processes with stationary increments when the small balls are given by various Hölder norms. As an application we establish results related to Chung's functi...
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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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Article
Characterization of Thin Titanium and Titanium Nitride Layers Using Sims
Titanium (Ti) and titanium nitride (TiN) films are widely used as barrier stack to prevent junction spiking. It is also an important material for an anti-reflection coating (ARC) on aluminum (Al) films to faci...
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Article
Small Ball Estimates for Gaussian Processes under Sobolev Type Norms
A sharp small ball estimate under Sobolev type norms is obtained for certain Gaussian processes in general and for fractional Brownian motions in particular. New method using the techniques in large deviation ...
