(The papers below have been either published, accepted, or conditionally accepted for publication. See my ARXIV PAGE for the most up-to-date list of my papers.)

## 2021

**Asymptotic behavior of density in the boundary-driven exclusion process on the Sierpinski gasket.**

(with Patrícia Gonçalves.) *Math. Phys. Anal. Geom. ***24**, article no. 24 (2021). ARXIV:1904.08789

**Higher order hydrodynamics and equilibrium fluctuations of interacting particle systems.**

(with Federico Sau.) *Markov Processes Relat. Fields* **27**, 339-380 (2021). ARXIV:2008.13403

## 2020

**Spectral decimation of the magnetic Laplacian on the Sierpinski gasket: Solving the Hofstadter-Sierpinski butterfly.**

(with Ruoyu Guo '19.) *Commun. Math. Phys.* **380**, 187-243 (2020). ARXIV:1909.05662

**Laplacian growth & sandpiles on the Sierpinski gasket: limit shape universality and exact solutions.**

(with Jonah Kudler-Flam '17.) *Ann. Inst. Henri Poincaré Comb. Phys. Interact.* **7** (2020), 585-664. ARXIV:1807.08748

**Internal DLA on Sierpinski gasket graphs.**

(with Wilfried Huss, Ecaterina Sava-Huss, and Alexander Teplyaev.) Chapter 7 in "Analysis and Geometry on Graphs & Manifolds," M. Keller et al. (Eds.), London Mathematical Society Lecture Notes, Cambridge University Press (2020). ARXIV:1702.04017

**Fractal AC circuits and propagating waves on fractals.**

(with Eric Akkermans, Gerald Dunne, Luke G. Rogers, and Alexander Teplyaev.) Chapter 18 in "Analysis, Probability, and Mathematical Physics on Fractals," P. Alonso-Ruiz et al. (Eds.), World Scientific Publishing (2020). ARXIV:1507.05682

**Analysis, Probability and Mathematical Physics on Fractals.** Patricia Alonso-Ruiz, Joe P. Chen, Luke G. Rogers, Robert S. Strichartz, and Alexander Teplyaev (Eds.). World Scientific Publishing (2020).

## 2018

**From non-symmetric particle systems to non-linear PDEs on fractals.**

(with Michael Hinz and Alexander Teplyaev.) To appear in the proceedings for *Stochastic PDEs and Related Fields: an international conference in honor of Michael Röckner's 60th birthday.* (2018). ARXIV:1702.03376

**Regularized Laplacian determinants of self-similar fractals.**

(with Alexander Teplyaev and Konstantinos Tsougkas.) *Lett. Math. Phys. ***108 **(2018) 1563-1579. ARXIV:1610.10062

## 2017

**The moving particle lemma for the exclusion process on a weighted graph.**

*Electron. Commun. Probab. ***22 **(2017), paper no. 47. ARXIV:1606.01577

**Power dissipation in fractal AC circuits.**

(with Luke G. Rogers, Loren Anderson, Ulysses Andrews, Antoni Brzoska, Aubrey Coffey, Hannah Davis, Lee Fisher, Madeline Hansalik, Stephew Loew, and Alexander Teplyaev.). *J. Phys. A: Math. Theor.* **50** (2017) 325205. ARXIV:1605.03890

**Wave equation on one-dimensional fractals with spectral decimation and the complex dynamics of polynomials.**

(with Ulysses Andrews, Grigory Bonik, Richard W. Martin, and Alexander Teplyaev.)

*J. Fourier Anal. Appl. ***23** (2017) 994--1027. ARXIV:1505.05855

**Stabilization by noise of a $\mathbb{C}^2$-valued coupled system.**

(with Lance Ford, Derek Kielty, Rajeshwari Majumdar, Heather McCain, Dylan O'Connell, and Fan Ny Shum.) *Stoch. Dyn.* **17** (2017) 1750046. ARXIV:1510.09221

## 2016 and prior

**Singularly continuous spectrum of a self-similar Laplacian on the half-line.**

(with Alexander Teplyaev.) *J. Math. Phys.* **57** (2016) 052104. ARXIV:1509.08875

**Spectral dimension and Bohr's formula for Schrodinger operators on unbounded fractal spaces.**

(with Stanislav Molchanov and Alexander Teplyaev.) *J. Phys. A: Math. Theor.* **48** (2015) 395203. ARXIV:1505.03923

**Entropic repulsion of Gaussian free field on high-dimensional Sierpinski carpet graphs.**

(with Baris E. Ugurcan.) *Stoch. Proc. Appl.* **125** (2015) 4632--4673. ARXIV:1307.5825

**Periodic billiard orbits of self-similar Sierpinski carpets.**

(with Robert G. Niemeyer.) *J. Math. Anal. Appl.* **416** (2014) 969--994. ARXIV:1303.4032

**Quantum theory of cavity-assisted sideband cooling of mechanical motion.**

(with Florian Marquardt, Aashish A. Clerk, and Steven M. Girvin.)

*Phys. Rev. Lett.* **99**, 093902 (2007).