Publications of Werner Müller
Preprints
Recent papers
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Analytic torsion for arithmetic locally symmetric manifolds (with J. Matz)
[PDF]
J. Funct. Analysis 284 (2023), no.1, paper no. 109727.
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Analytic torsion
[PDF]
Section in: "Isadore M. Singer (1924--2021) In Memoriam Part 1: Scientific
Works", Notices of the AMS, October 2022, 1547--1563.
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On Ruelle zeta functions of hyperbolic manifolds and Reidemeister torsion
[PDF]
J. Geom. Anal. 31 (2021), no. 12, 12501 - 12524.
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Exponential growth of torsion in the cohomology of arithmetic hyperbolic
manifolds, (with F. Rochon)
[PDF]
Math. Zeitschrift 298 (2021), no. 1-2, 79 - 106.
Some older papers
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Analytic torsion and Reidemeister torsion of hyperbolic manifolds with
cusps, (with F. Rochon)
[PDF]
Geom. Funct. Anal. 30 (2020), no. 3, 910 - 954.
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Approximation of L^2-analytic torsion for arithmetic quotients of the
symmetric space SL(n,R)/SO(n), (with J. Matz)
[PDF]
J. Inst. Math. Jussieu 9 (2020), no. 2, 307 - 350.
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Asymptotic behavior of automorphic spectra and the trace formula, II
[PDF]
RIMS Kokyuroku 2136, "Automorphic forms,
automorphic representations and related topics", Kyoto, December 2019, 112-126.
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Analytic torsion of arithmetic quotients of the symmetric space
SL(n,R)/SO(n), (with J. Matz)
[PDF]
Geom. Funct. Anal. 27 (2017), no. 6, 1378 - 1449.
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Asymptotitcs of automorphic spectra and the trace formula
[PDF]
Simons Symposium "Families of Automorphic
Forms and the Trace Formula", Editors: Werner Müller, Sug Woo Shin, and
Nicolas Templier, Springer-Verlag, 2016, pp. 477 - 529.
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On the analytic torsion of hyperbolic manifolds of finite volume
[PDF]
In: Geometry, Analysis, and Probability, Progress in Math. Vol. 310,
Birkhäuser, 2017, pp. 165 - 190.
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Limit multiplicities for principal congruence subgroups
of GL(n) and SL(n) (with E. Lapid and T. Finis)
[PDF]
J. Inst. Math. Jussieu 14 (2015), no. 3, 589 -- 638.
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Spectral theory for the Weil-Petersson Laplacian on the Riemann
moduli space
(with L. Ji, R. Mazzeo, and A. Vasy)
[PDF]
Comment. Math. Helv 89 (2014), 867 -- 894.
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The analytic torsion and its asymptotic behaviour for sequences of
hyperbolic manifolds of finite volume (with J. Pfaff)
[PDF]
J. of Funct. Analysis 267 (1014), no. 8, 2731--2786.
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On the growth of torsion in the cohomology of arithmetic
groups (with J. Pfaff)
[PDF]
Math. Ann. 359 (2014), no. 1--2, 537--555.
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The metric anomaly of analytic torsion on manifolds with conical
singularities
(with B. Vertman)
[PDF]
Comm. Partial Differential Equations 39 (2014), no. 1, 146--191.
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Analytic torsion and L^2-torsion of compact locally symmetric manifolds
(with J. Pfaff)
[PDF]
J. Diff. Geometry 95, No. 1, (2013), 71 - 119.
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On the torsion in the cohomology of arithmetic hyperbolic 3-manifolds
(with S. Marshall)
[PDF]
Duke Math. J. 162, No. 5, (2013), 863 -888.
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The asymptotics of the Ray-Singer analytic torsion for compact hyperbolic
manifolds
(with J. Pfaff)
[PDF]
Intern. Math. Research Notices, IMRN 2013, no. 13, 2945--2983.
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On the degrees of matrix coefficients of intertwining operators
(with T. Finis and E. Lapid)
[PDF]
Pacific Journal of Math. 260 (2012), no. 2, 433 - 456.
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Analytic torsion of complete hyperbolic manifolds of finite volume
(with J. Pfaff)
[PDF]
J. Funct. Anal. 263 (2012), no. 9, 2615 - 2675.
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The asymptotics of the Ray-Singer analytic torsion for hyperbolic 3-manifolds
[PDF]
in: ``Metric and Differential Geometry'', The Jeff Cheeger
Anniversary Volume, Progress in Math. Vol. 297, pp. 317 - 352, Birkhäuser,
2012.
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On the spectral side of Arthur's trace formula -- absolute convergence,
(with T. Finis and E. Lapid).
[PDF]
Annals of Math. 174 -1 (2011), 173--195.
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A Selberg trace formula for non-unitary twists.
[PDF]
Int. Math. Res. Notices, Vol. 2011, 2068 - 2109.
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Scattering at low energies on manifolds with cylindrical ends and stable
systols, (with A. Strohmaier).
[PDF]
GAFA 20 (2010), 741--778.
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The spectral side of Arthur's trace formula, (with T. Finis and E. Lapid).
[PDF]
Proc. Nat. Acad. Sci. USA 106 (2009), no. 1, 15563-15566.
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Spectral asymptotics for arithmetic
quotients of SL(n,R)/SO(n), (with E. Lapid).
[PDF]
Duke Math. J. 149 (2009), 117-156.
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Weyl's law
in the theory of automorphic forms, (survey).
[PDF]
in:
Groups and Analysis, The Legacy of Hermann Weyl, Cambridge Univ.
Press., 2008, 133 -163.
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A spectral interpretation of the zeros of
the constant term of certain Eisenstein series
[PDF]
J. Reine Angew. Math. 620 (2008), 67-84.
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Scattering theory
for the Laplacian on manifolds with bounded curvature, (with G. Salomonsen)
[PDF]
J. Funct. Analysis 253 (2007), 158-206.
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Weyl's
law for the cuspidal spectrum of SL(n).
[PDF]
Annals of Math. 165 (2007), 275--333.
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Regularized
determinants of Laplace
type operators, analytic surgery, and relative determinants,
(with J. Müller).
[PDF]
Duke Math. J. 133 (2006), 259--312.