52 citations
- University of YorkGB13 papers
- University of North TexasUS11 papers
- George Mason UniversityUS7 papers
- North Central CollegeUS7 papers
- University of MinnesotaUS7 papers
- University of California, BerkeleyUS6 papers
- Iowa State UniversityUS5 papers
- University of WashingtonUS5 papers
- Space Sciences LaboratoryUS3 papers
- System Planning Corporation (United States)US3 papers
- University of Massachusetts AmherstUS3 papers
- University of VictoriaCA3 papers
12 papers · 1 filter
Analysis of SIR epidemic models with sociological phenomenon
Robert F. Allen, Katherine Heller, Matthew A. Pons
We propose two SIR models which incorporate sociological behavior of groups of individuals. It is these differences in behaviors which impose different infection rates on the indiv…
Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism
Tushar Das, Lior Fishman, David Simmons +1
We consider small perturbations of a conformal iterated function system (CIFS) produced by either adding or removing some generators with small derivative from the original. We est…
On the dimension spectra of infinite iterated function systems
Tushar Das, David Simmons
The dimension spectrum of a conformal iterated function system (CIFS) is the set of all Hausdorff dimensions of its various subsystem limit sets. This brief note provides two const…
Thermodynamic formalism for coarse expanding dynamical systems
Tushar Das, Feliks Przytycki, Giulio Tiozzo +2
We consider a class of dynamical systems, which we call weakly coarse expanding, which is a generalization to the postcritically infinite case of expanding Thurston maps as discuss…
Intersecting limit sets of Kleinian subgroups and Susskind's question
Tushar Das, David Simmons
We construct a non-elementary Fuchsian group that admits two non-elementary subgroups with trivial intersection and whose radial limit sets intersect non-trivially. This negatively…
Badly approximable points on self-affine sponges and the lower Assouad dimension
Tushar Das, Lior Fishman, David Simmons +1
We highlight a connection between Diophantine approximation and the lower Assouad dimension by using information about the latter to show that the Hausdorff dimension of the set of…