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In this paper, we study the behavior of Ricci-flat K¨ahler metrics on Calabi-Yau manifolds under algebraic geometric surgeries: extremal transitions or flops. We prove a version of Candelas and de la ...
This is a continuation of paper [7]. On any toric Fano manifold, we discuss the behavior of limit metric of a sequence of metrics, which are solutions to a continuity family of complex Monge-Amp`ere e...
We discuss the ideal-adic semi-continuity problem for minimal log discrepancies by Mustat¸˘a. We study the purely log terminal case, and prove the semi-continuity of minimal log discrepanci...
The integrated density of states of a Schr¨odinger operator with random potential given by a homogeneous Gaussian field whose covariance function is continuous, compactly supported and has positive me...
The aim of this paper is to study the continuity correction for barrier options in jump-diffusion models. For this purpose, we express the pay-off of a barrier option in terms of the maximum of the un...
The Lyapunov exponents of locally constant GL(2, C)-cocycles over Bernoulli shifts depend continuously on the cocycle and on the invariant probability. The Oseledets decomposition also depends continu...
For a class of partially hyperbolic Ck, k > 1 diffeomorphisms with circle center leaves we prove existence and finiteness of physical (or Sinai-Ruelle-Bowen) measures, whose basins cover a full Lebesg...
We consider a family of non-evolutionary partial differential equations known as Holm - Staley b - family which includes the integrable Camassa-Holm and Degasperis-Procesi equations. We show that the ...
A novel gravitational-wave antenna is proposed based on the prediction that supercurrents induced by gravitational waves in a superconductor that is bent into the shape of a figure "8" will couple eff...
For a Radon measure $\mu$ on $\bbR,$ we show that $L^{\infty}(\mu)$ is invariant under the group of translation operators $T_t(f)(x) = {$f(x-t)$}\ (t \in \bbR)$ if and only if $\mu$ is equivalent to ...
We consider the Schr\"odinger operator $H = -\Delta + V$ in a layer or in a $d$-dimensional cylinder. The potential $V$ is assumed to be periodic with respect to some lattice. We establish the absolu...
In our Prague paper [1], we predicted that the Cooper pairs will respond to a gravitational (GR) wave di erently from the ions of the ionic lattice of a superconductor (SC), because there exists a glo...
Robin Hendry has recently argued that although the term ‘element’ has traditionally been used in two different senses, (basic substance and simple substance), there has nonetheless been a continuity o...
We consider averages  of spectral measures of rank one perturba-tions with respect to a -finite measure . It is examined how various degrees of continuity of  with respect to -dimensional Hausdor...

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