Publications
- Random spanning forests and hyperbolic symmetry R. Bauerschmidt, N. Crawford, T. Helmuth, A. Swan Preprint
- Mean-field tricritical polymers R. Bauerschmidt, G. Slade Preprint
- Edge rigidity and universality of random regular graphs of intermediate degree R. Bauerschmidt, J. Huang, A. Knowles, H.-T. Yau Preprint
- Log-Sobolev inequality for the continuum Sine-Gordon model R. Bauerschmidt, T. Bodineau Preprint
- Three-dimensional tricritical spins and polymers R. Bauerschmidt, M. Lohmann, G. Slade Preprint
- The geometry of random walk isomorphism theorems R. Bauerschmidt, T. Helmuth, A. Swan Preprint
- Dislocation lines in three-dimensional solids at low temperature R. Bauerschmidt, D. Conache, M. Heydenreich, F. Merkl, S.W.W. Rolles Ann. Henri Poincaré, 20, no. 9, 3019–3057, (2019)
- Spectral gap critical exponent for Glauber dynamics of hierarchical spin models R. Bauerschmidt, T. Bodineau Commun. Math. Phys., to appear
- Dynkin isomorphism and Mermin-Wagner theorems for hyperbolic sigma models and recurrence of the two-dimensional vertex-reinforced jump process R. Bauerschmidt, T. Helmuth, A. Swan Ann. Probab., 47(5):3375-3396, (2019)
- A very simple proof of the LSI for high temperature spin systems R. Bauerschmidt, T. Bodineau J. Funct. Anal., Vol. 276, 8, 2582-2588, (2019)
- Four-dimensional weakly self-avoiding walk with contact self-attraction R. Bauerschmidt, G. Slade, B. Wallace J. Stat. Phys., 167(2):317–350, (2017)
- Local Kesten-McKay law for random regular graphs R. Bauerschmidt, J. Huang, H.-T. Yau Commun. Math. Phys., 369, no. 2, 523–636, (2019)
- The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem R. Bauerschmidt, P. Bourgade, M. Nikula, H.-T. Yau Adv. Theor. Math. Phys., Vol. 23, No. 4, pp. 841-1002, (2019)
- Finite-order correlation length for 4-dimensional weakly self-avoiding walk and |φ|^{4} spins R. Bauerschmidt, G. Slade, A. Tomberg, B.C. Wallace Ann. Henri Poincaré, 18(2):375–402, (2017)
- Local density for two-dimensional one-component plasma R. Bauerschmidt, P. Bourgade, M. Nikula, H.-T. Yau Commun. Math. Phys., 356(1):189–230, (2017)
- Bulk eigenvalue statistics for random regular graphs R. Bauerschmidt, J. Huang, A. Knowles, H.-T. Yau Ann. Probab., 45(6A):3626–3663, (2017)
- Local semicircle law for random regular graphs R. Bauerschmidt, A. Knowles, H.-T. Yau Comm. Pure Appl. Math., 70(10):1898–1960, (2017)
- Scaling limits and critical behaviour of the 4-dimensional n-component |φ|^{4} spin model R. Bauerschmidt, D.C. Brydges, G. Slade J. Stat. Phys., Vol. 157, 4-5, 692-742, (2015) Special issue in memory of Kenneth Wilson (Nobel Prize in Physics 1982).
- Critical two-point function of the 4-dimensional weakly self-avoiding walk R. Bauerschmidt, D.C. Brydges, G. Slade Commun. Math. Phys., 338(1):169–193, (2015)
- Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis R. Bauerschmidt, D.C. Brydges, G. Slade Commun. Math. Phys., 337(2):817–877, (2015)
- A renormalisation group method. III. Perturbative analysis R. Bauerschmidt, D.C. Brydges, G. Slade J. Stat. Phys., 159:492–529, (2015) [→Code]
- Fluctuations in a kinetic transport model for quantum friction R. Bauerschmidt, W. de Roeck, J. Fröhlich J. Phys. A: Math. Theor., 47 275003, (2014)
- Structural stability of a dynamical system near a non-hyperbolic fixed point R. Bauerschmidt, D.C. Brydges, G. Slade Ann. Henri Poincaré, Vol. 16, 4, 1033-1065, (2015)
- A simple method for finite range decomposition of quadratic forms and Gaussian fields R. Bauerschmidt Probab. Theory Related Fields, Vol. 157, 3-4, 817-845, (2013)
Book
- Introduction to a renormalisation group method R. Bauerschmidt, D.C. Brydges, G. Slade Lecture Notes in Mathematics, volume 2242, Springer (2019).
Proceedings and lecture notes
- Renormalisation group analysis of 4D spin models and self-avoiding walk R. Bauerschmidt, D.C. Brydges, G. Slade Proceedings ICMP, Santiago de Chile, July 2015
- Lectures on Self-Avoiding Walks R. Bauerschmidt, H. Duminil-Copin, J. Goodman, and G. Slade Clay Mathematics Proceedings, Vol. 15, Amer. Math. Soc., 395-476, (2010).