# Faculty

## Juan Rivera-Letelier

*Professor of Mathematics*

Doctorat en MathÃ©matiques Pures (equiv. PhD), UniversitÃ© de Paris Sud, 2000

811 Hylan Hall

(585) 276-3117

jriveral@ur.rochester.edu

Office Hours: By appointment

### Selected Publications

#### 2012-2015 Papers

*The distribution of Galois orbits of points of small height in toric varieties*

with J. Burgos Gil, P. Philippon, M. Sombra.*Generic parabolic points are isolated in positive characteristic*

with K.O. Lindahl, Nonlinearlity, to appear.*Sensitive dependence of Gibbs measures at low temperatures*

with D. Coronel, J. Stat. Phys. 160 (2015), 1658–1683.*Geometric pressure for multimodal maps of the interval*

with F. Pryzytcki.*Optimal cycles in ultrametric dynamics and minimally ramified power series*

with K.O. Lindahl, Compositio Math. 152 (2016), 187-222.*High-order phase transitions in the quadratic family*

with D. Coronel, J. Eur. Math. Soc. 17 (2015), 2725–2761.*On Poincare series of unicritical polynomials at the critical point*

with W. Shen, Commun. Math. Stat. 1 (2013), 1–17.*Equilibrium states of weakly hyperbolic one-dimensional maps for Holder potentials*

with H. Li, Comm. Math. Phys. 328 (2014), 397–419.*Equilibrium states of interval maps for hyperbolic potentials*

with H. Li, Nonlinearity 27 (2014), 1779–1804.*On the asymptotic expansion of maps with disconnected Julia set**Low-temperature phase transitions in the quadratic family*

with D. Coronel, Adv. Math. 248 (2013), 453–494.*Asymptotic expansion of smooth interval maps*