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researcher

I. Karabash

26 papers hereh-index 9310 citations37 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author9
  • first author7
  • middle author1
  • last author9

Across the 26 of 26 papers where every author was matched, so the position is known.

fields
  • math.SP8
  • math.AP6
  • math.OC6
  • math.DS2
  • math-ph2
  • math.CA1

identity via Semantic Scholar / OpenAlex

activity
20062026
most citedBohl-Perron type stability theorems for linear difference equations with infinite delay

33 citations · 184 across the 24 of their papers we have counts for

collaborators
Showing 2019Show all

2 papers · 1 filter

math-ph2019★ 1 cited

Asymptotics of random resonances generated by a point process of delta-interactions

Sergio Albeverio, Illya M. Karabash

We introduce and study the following model for random resonances: we take a collection of point interactions Υj​ generated by a simple finite point process in the 3-D space and c…

math.OC2019

Euler-Lagrange equations for full topology optimization of the Q-factor in leaky cavities

Matthias Eller, Illya M. Karabash

We derive Euler-Lagrange equations for the topology optimization of decay rate in 3-d lossy optical cavities. This leads to a new class of time-harmonic differential or integro-dif…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.