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Natural hazards are existence of natural components and processes, which create a situation that could negatively affect people, the economy and the environment. In this concern, they are associated w...
Natural hazards are existence of natural components and processes, which create a situation that could negatively affect people, the economy and the environment. In this concern, they are associated w...
We consider the set C of pairs of real numbers (x, y), or equivalently of points on the plane R2. Two vectors z1 = (x1, x2) and z2 = (x2, y2) are equal if and only if x1 = x2 and y1 = y2. Two vectors ...
Abstract: We consider the Schr{\"o}dinger operator $-\Delta +V(x)$ in $L^2({\bf R}^3)$ with a real short-range (integrable) potential $V$. Using the associated Fredholm determinant, we present new tra...
Abstract: This paper presents a short introduction to local fractional complex analysis. The generalized local fractional complex integral formulas, Yang-Taylor series and local fractional Laurent's s...
First and foremost, I would like to thank my advisor Sarah Koch for being so generous with her time and energy.
We discuss possible discretizations of complex analysis and some of their applications to probability and mathematical physics, following our recent work with Dmitry Chelkak, Hugo Duminil-Copin and Cl...

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