19 citations · 22 across the 3 of their papers we have counts for
7 papers
The Shift-Match Number and String Matching Probabilities for Binary Sequences
A. H. Bilge, A. Erzan, D. Balcan
We define the ``shift-match number'' for a binary string and we compute the probability of occurrence of a given string as a subsequence in longer strings in terms of its shift-mat…
Analytical Solution of a Stochastic Content Based Network Model
Muhittin Mungan, Alkan Kabakcioglu, Duygu Balcan +1
We define and completely solve a content-based directed network whose nodes consist of random words and an adjacency rule involving perfect or approximate matches, for an alphabet…
Equilibrium correlations in a model for multidimensional epistasis
G. Soyler, A. Erzan
We investigate a statistical model for multidimensional epistasis. The genotype is devided into subsequences, and within each subsequence mutations which occur in a prescribed orde…
Percolation exponents at the entanglement transition
Y. Yilmaz, O. Pekcan, A. Erzan
NOTE: This paper has been withdrawn by the authors, because they have been subsequently convinced that the sudden increase in the pyrene fluorescence cannot arise from entanglement…
A Thermodynamic Model for Prebiotic Protein Function
Ayse Erzan, Erkan Tuzel
We propose a scenario for the prebiotic co-evolution of RNA and of fast folding proteins with large entropy gaps as observed today. We show from very general principles that the fo…
Evolutionary route to diploidy and sex
Erkan Tuzel, Volkan Sevim, Ayse Erzan
Using a bit-string model of evolution, we find a successful route to diploidy and sex in simple organisms. Allowing the sexually reproducing diploid individuals to also perform mit…