Jacopo De Simoi
University of Toronto
38 Papers
84 Citations
Jacopo De Simoi is an academic researcher from University of Toronto. The author has contributed to research in topics: Dynamical billiards & Hausdorff dimension. The author has an hindex of 11, co-authored 38 publications. Previous affiliations of Jacopo De Simoi include University of Rome Tor Vergata.
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Papers
Statistical properties of mostly contracting fast-slow partially hyperbolic systems
TL;DR: In this paper, the authors consider a class of partially hyperbolic systems on the Euclidean plane with maps of the circle described by maps and their statistical properties, including exponential decay of correlation for Holder observables with explicit and nearly optimal bounds on the decay rate.
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Limit Theorems for Fast-slow partially hyperbolic systems
TL;DR: In this article, the authors prove several limit theorems for a simple class of partially hyperbolic fast-slow systems and give a substantial refinement of known large and moderate deviation results and conclude with a completely new result (a local limit theorem) on the distribution of the process determined by the fluctuations around the average.
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Marked Length Spectral determination of analytic chaotic billiards with axial symmetries
TL;DR: In this paper, the Marked Length Spectrum (MLS) was used to define the geometry of the billiard table, and it was shown that under suitable symmetry and genericity assumptions, the MLS determines the geometrical properties of the table.
Potts models on hierarchical lattices and renormalization group dynamics: II. Examples and numerical results
TL;DR: In this article, the exact renormalization map and plots of Lee-Yang and Fisher zeros distributions for Potts models on a number of hierarchical lattices were obtained, including the diamond hierarchical lattice, a lattice we call spider web, the Sierpinski gasket and cylinders.
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Potts models on hierarchical lattices and Renormalization Group dynamics
Jacopo De Simoi,Stefano Marmi +1 more
TL;DR: In this paper, it was shown that the generator of the renormalization group of Potts models on hierarchical lattices can be represented by a rational map acting on a finite-dimensional product of complex projective spaces.
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