5 papers
Green's Functions and Existence of Solutions of Nonlinear Fractional Implicit Difference Equations with Dirichlet Boundary Conditions
Alberto Cabada, Nikolay D. Dimitrov, Jagan Mohan Jonnalagadda
This article is devoted to deduce the expression of the Green's function related to a general constant coefficients fractional difference equation coupled to Dirichlet conditions.…
Discrete uniformization of finite branched covers over the Riemann sphere via hyper-ideal circle patterns
Alexander Bobenko, Nikolay Dimitrov, Stefan Sechelmann
With the help of hyper-ideal circle pattern theory, we have developed a discrete version of the classical uniformization theorems for surfaces represented as finite branched covers…
Hyper-ideal circle patterns with cone singularities
Nikolay Dimitrov
The main objective of this study is to understand how geometric hyper-ideal circle patterns can be constructed from given combinatorial angle data. We design a hybrid method consis…
An example of rapid evolution of complex limit cycles
Nikolay Dimitrov
In the current article we study complex cycles of higher multiplicity in a specific polynomial family of holomorphic foliations in the complex plane. The family in question is a pe…
On Some Results Related to Napoleon's Configurations
Nikolay Dimitrov
The goal of this paper is to give a purely geometric proof of a theorem by Branko Grünbaum concerning configuration of triangles coming from the classical Napoleon's theorem in pla…