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## Comparison of discrete and continuum Liouville first passage percolation

- M. Ang
- MathematicsElectronic Communications in Probability
- 1 January 2019

Discrete and continuum Liouville first passage percolation (DLFPP, LFPP) are two approximations of the conjectural $\gamma$-Liouville quantum gravity (LQG) metric, obtained by exponentiating the… Expand

## Liouville quantum gravity surfaces with boundary as matings of trees

- M. Ang, Ewain Gwynne
- Physics, MathematicsAnnales de l'Institut Henri Poincaré, Probabilit…
- 21 March 2019

For $\gamma \in (0,2)$, the quantum disk and $\gamma$-quantum wedge are two of the most natural types of Liouville quantum gravity (LQG) surfaces with boundary. These surfaces arise as scaling limits… Expand

## Integrability of SLE via conformal welding of random surfaces

We demonstrate how to obtain integrability results for the Schramm-Loewner evolution (SLE) from Liouville conformal field theory (LCFT) and the mating-of-trees framework for Liouville quantum gravity… Expand

## Volume of metric balls in Liouville quantum gravity

- M. Ang, Hugo Falconet, Xin Sun
- Mathematics
- 30 January 2020

We study the volume of metric balls in Liouville quantum gravity (LQG). For $\gamma \in (0,2)$, it has been known since the early work of Kahane (1985) and Molchan (1996) that the LQG volume of… Expand

## Brownian loops and the central charge of a Liouville random surface

- M. Ang, Minjae Park, Joshua Pfeffer, S. Sheffield
- MathematicsThe Annals of Probability
- 24 May 2020

We explore the geometric meaning of the so-called zeta-regularized determinant of the Laplace-Beltrami operator on a compact surface, with or without boundary. We relate the $(-c/2)$-th power of the… Expand

## Large deviations of radial SLE∞

- M. Ang, Minjae Park, Yilin Wang
- Mathematics
- 2020

We derive the large deviation principle for radial Schramm-Loewner evolution (SLE) on the unit disk with parameter κ → ∞. Restricting to the time interval [0, 1], the good rate function is finite… Expand

## Integrability of the conformal loop ensemble

We demonstrate that the conformal loop ensemble (CLE) has a rich integrable structure by establishing exact formulas for two CLE observables. The first describes the joint moments of the conformal… Expand

## ON THE STABILITY OF MOTION OF DYNAMICAL SYSTEMS WITH SLOWLY VARYING COEFFICIENTS

For a linear system of differential equations with constant coefficients. it is well-known that, if all eigenvalues of A have negative real parts, then the trival solution of (1) is asymptotically… Expand

## Structured neural-network approach to robot motion control

- G. Krishnaswamy, M. Ang, G. Andeen
- Computer Science[Proceedings] IEEE International Joint…
- 18 November 1991

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## TITLE: SOLVING COMPATIBLE EQUATIONS BY HOPFIELD NEURAL NETWORK

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