#### 228 Citations

Combinatorics of $\gamma$-structures

- Mathematics
- 2011

In this paper we study canonical $\gamma$-structures, a class of RNA pseudoknot structures that plays a key role in the context of polynomial time folding of RNA pseudoknot structures. A… Expand

Analytic Solutions of the Heat Equation

- Mathematics
- 2019

Motivated by the recent proof of Newman's conjecture \cite{R-T} we study certain properties of entire caloric functions, namely solutions of the heat equation $\partial_t F = \partial_z^2 F$ which… Expand

Cornu Spirals and the Triangular Lacunary Trigonometric System

- Mathematics
- Fractal and Fractional
- 2019

This work is intended to directly supplement the previous work by Coutsias and Kazarinoff on the foundational understanding of lacunary trigonometric systems and their relation to the Fresnel… Expand

The potential (iz)m generates real eigenvalues only, under symmetric rapid decay boundary conditions

- Physics, Mathematics
- 2005

We consider the non-Hermitian eigenvalue problems −u″(z)±(iz)mu(z)=λu(z),m⩾3, under every rapid decay boundary condition that is symmetric with respect to the imaginary axis in the complex z plane.… Expand

Casimir energy of a massive field in a genus-1 surface

- Physics
- 1995

Abstract We review the definition of the Casimir energy stemming naturally from the concept of functional determinant through the zeta function prescription. This is done by considering the theory at… Expand

On the mean values of an entire function represented by Dirichlet series

- Mathematics
- 1971

© Annales de l’institut Fourier, 1971, tous droits réservés. L’accès aux archives de la revue « Annales de l’institut Fourier » (http://annalif.ujf-grenoble.fr/) implique l’accord avec les conditions… Expand

Cycles in Random Meander Systems

- Mathematics, Physics
- 2020

A meander system is a union of two arc systems that represent non-crossing pairings of the set
$$[2n] = \{1, \ldots , 2n\}$$
in the upper and lower half-plane. In this paper, we consider random… Expand

Difference-Based Deep Learning Framework for Stress Predictions in Heterogeneous Media

- Computer Science, Physics
- ArXiv
- 2020

Deep learning is utilized and a set of Difference-based Neural Network frameworks based on engineering and statistics knowledge are developed to determine stress distribution in heterogeneous media with special focus on discontinuous domains that manifest high stress concentrations. Expand

Extreme Points of $$\alpha $$-Normal Functions

- Mathematics
- 2020

In this paper, we consider the existence of extreme points of analytic $$\alpha $$-normal functions. First, in terms of $$\alpha $$-normal unit-valued set, we obtain a necessary condition for a… Expand

Properties of normal harmonic mappings

- Mathematics
- 2020

In this paper, we present several necessary and sufficient conditions for a harmonic mapping to be normal. Also, we discuss maximum principle and five-point theorem for normal harmonic mappings.… Expand