Tags

Ergodic Theory

Exponential Mixing and Transfer Operators

Random Walks and Invariant Random Subgroups

Random Walks on Groups

Extreme Value Theory on Generalized Continued Fractions

CLT and gaps in Pollicott's EVT

EVT on Continued Fraction

EVT on Modular Surface

Relationship between Continued Fraction and Modular Surface

Continued Fraction

Extreme Value Theory on Generalized Continued Fractions

EVT on Continued Fraction

Relationship between Continued Fraction and Modular Surface

Extreme Value Theorem

Extreme Value Theory on Generalized Continued Fractions

CLT and gaps in Pollicott's EVT

EVT on Continued Fraction

EVT on Modular Surface

Mathematical Analysis

2022 Winter Major Tutoring School Lecture Notes

Teaching Experience

2024 Winter Mentoring: Introduction to Category Theory

2022 Winter Major Tutoring School Lecture Notes

Lecture Note

2024 Winter Mentoring: Introduction to Category Theory

2022 Winter Major Tutoring School Lecture Notes

Probability Theory

Random Walks and Invariant Random Subgroups

Spin Glass Theory

Research Talk at KMS Annual Meeting

Random Walks on Groups

Short Talk at Cornell Probability Summer School

The Eyring–Kramers Law for Extinction Time of Contact Process on Stars

Metastability of Contact Processes

Determinantal Point Process

Capacity of Markov Processes and Variational Principles

Concepts in Stochastic Models and Processes

Two Dimensional Random-Cluster Model

Free Energy of Percolation and its Differentiability

Percolation Theory

Two Dimensional Random-Cluster Model

Free Energy of Percolation and its Differentiability

Talk

Exponential Mixing and Transfer Operators

Random Walks and Invariant Random Subgroups

Spin Glass Theory

Research Talk at KMS Annual Meeting

Random Walks on Groups

Short Talk at Cornell Probability Summer School

The Eyring–Kramers Law for Extinction Time of Contact Process on Stars

Metastability of Contact Processes

Cohomology Structure of Fixed Point Sets

Local–Global Principle for Periodic Orbits of Polynomial Maps

Determinantal Point Process

Moduli Space of Quadratic Rational Maps equals Affine Plane

Equality of Field of Definition and Field of Moduli

Capacity of Markov Processes and Variational Principles

Concepts in Stochastic Models and Processes

Two Dimensional Random-Cluster Model

Free Energy of Percolation and its Differentiability

Random-Cluster Model

Two Dimensional Random-Cluster Model

Metastability

Research Talk at KMS Annual Meeting

Short Talk at Cornell Probability Summer School

The Eyring–Kramers Law for Extinction Time of Contact Process on Stars

Metastability of Contact Processes

Capacity of Markov Processes and Variational Principles

Concepts in Stochastic Models and Processes

Potential Theory

Capacity of Markov Processes and Variational Principles

Arithmetic Dynamics

Local–Global Principle for Periodic Orbits of Polynomial Maps

Moduli Space of Quadratic Rational Maps equals Affine Plane

Equality of Field of Definition and Field of Moduli

Algebraic Geometry

Moduli Space of Quadratic Rational Maps equals Affine Plane

Equality of Field of Definition and Field of Moduli

Category Theory

2024 Winter Mentoring: Introduction to Category Theory

Random Matrix Theory

Determinantal Point Process

Cohomology Theory

Cohomology Structure of Fixed Point Sets

Algebraic Topology

Cohomology Structure of Fixed Point Sets

Contact Process

Research Talk at KMS Annual Meeting

Short Talk at Cornell Probability Summer School

The Eyring–Kramers Law for Extinction Time of Contact Process on Stars

Metastability of Contact Processes

Spin Glass Theory

Spin Glass Theory