Marius Lemm
RESEARCH PAPERS
Selected Publications

(with A. Adhikari and H.T. Yau)
Global eigenvalue distribution of matrices defined by the skewshift,
to appear in Anal. PDE
arXiv

(with J. Kim)
On the averaged Green's function of an elliptic equation with random coefficients, Arch. Ration. Mech. Anal.
234 (2019), no. 3, 11211166
arXiv
Article

(with P. Plucinsky and K. Bhattacharya)
Actuation of thin nematic
elastomer sheets with controlled heterogeneity, Arch. Ration. Mech. Anal. 227 (2018), no. 1, 149–214
arXiv
Article
 (with R.L. Frank and B. Simon)
Condensation of fermion pairs in a domain, Calc. Var. Partial Differential Equations 56 (2017), no. 2, 54,
arXiv
Article

(with V. Markovic)
Heat flows on hyperbolic spaces,
J. Diff. Geom. 108 (2018), no. 3, 495  529
arXiv
Article

(with D. Damanik, M. Lukic and W. Yessen)
New Anomalous LiebRobinson Bounds in QuasiPeriodic XY Chains,
Phys. Rev. Lett.
113 (2014), 127202
arXiv
Article
Full Publication List

(with A. Adhikari)
A Local Law for Singular Values from Diophantine Equations
arXiv

(with D. Sutter)
Quantitative lower bounds on the Lyapunov exponent from multivariate
matrix inequalities
arXiv

(with A.W. Sandvik and L. Wang)
Existence of a Spectral Gap in the AffleckKennedyLiebTasaki Model on the Hexagonal Lattice, Phys. Rev. Lett. 124 (2020), 177204
arXiv
Article

(with P.M. Kielstra)
On the finitesize Lyapunov exponent for the Schrödinger operator with skewshift potential,
to appear in Comm. Math. Sci.
arXiv

(with A.W. Sandvik and S. Yang)
The AKLT model on a hexagonal chain is gapped, J. Stat. Phys. 177 (2019), no. 6, 10771088
arXiv
Article

(with A. Adhikari and H.T. Yau)
Global eigenvalue distribution of matrices defined by the skewshift,
to appear in Anal. PDE
arXiv

(with M. de CourcyIreland)
A central limit theorem for integrals of random waves
arXiv

Gaplessness is not generic for translationinvariant spin chains, Phys. Rev. B 100 (2019) 035113
arXiv
Article

(with B. Nachtergaele)
Gapped PVBS models for all species numbers and dimensions, Rev. Math. Phys.
31 (2019), no. 9, 1950028
arXiv
Article

(with H. AbdulRahman, A. Lucia, B. Nachtergaele and A. Young)
A class of twodimensional AKLT models with a gap, Analytic trends in mathematical physics, Contemp. Math.
741, Amer. Math. Soc., Providence, RI 2020
arXiv
Article

Finitesize criteria for spectral gaps in Ddimensional quantum spin systems, Analytic trends in mathematical physics, Contemp. Math.
741, Amer. Math. Soc., Providence, RI 2020
arXiv
Article

(with M. Duerinckx and A. Gloria)
A remark on a surprising result by Bourgain in homogenization, Comm. Part. Diff. Eq. 44
(2019), no. 12, 13451357
arXiv
Article

(with R. Han and W. Schlag)
Weyl sums and the Lyapunov exponent for the skewshift Schrödinger cocycle, to appear in J. Spectr. Theory
arXiv

(with J. Kim)
On the averaged Green's function of an elliptic equation with random coefficients, Arch. Ration. Mech. Anal.
234 (2019), no. 3, 11211166
arXiv
Article

(with R. Han and W. Schlag)
Effective multiscale approach to the Schrödinger cocycle over a skew shift base, published online in Ergod. Theory Dyn. Syst.
arXiv
Article

(with E. Mozgunov)
Spectral gaps of frustrationfree spin systems
with boundary, J. Math. Phys. 60 (2019) 051901
arXiv
Article

On multivariate trace inequalities of Sutter, Berta and Tomamichel, J. Math. Phys. 59 (2018) 012204
arXiv
Article

On the entropy of fermionic reduced density matrices
arXiv

(with P. Plucinsky and K. Bhattacharya)
Actuation of thin nematic
elastomer sheets with controlled heterogeneity, Arch. Ration. Mech. Anal. 227 (2018), no. 1, 149–214
arXiv
Article

(with M.M. Wilde)
Informationtheoretic limitations on approximate quantum cloning and broadcasting,
Phys. Rev. A 96 (2017) 012304
arXiv
Article

(with R.L. Frank and B. Simon)
Condensation of fermion pairs in a domain, Calc. Var. Partial Differential Equations 56 (2017), no. 2, 54,
arXiv
Article

(with P. Plucinsky and K. Bhattacharya)
Programming complex shapes in thin nematic elastomer and glass sheets,
Phys. Rev. E 94 (2016) 010701(R), rapid communication
arXiv
Article

On the Hölder regularity for the fractional Schrödinger equation and its improvement for radial data,
Comm. Part. Diff. Eq. 41 (2016), no. 11, 17611792
arXiv
Article

(with M. Gebert)
On polynomial LiebRobinson bounds for the XY chain
in a decaying random field,
J. Stat. Phys. 164 (2016), no. 3, 667679
arXiv
Article

(with V. Markovic)
Heat flows on hyperbolic spaces,
J. Diff. Geom. 108 (2018), no. 3, 495  529
arXiv
Article

(with R.L. Frank)
MultiComponent GinzburgLandau Theory: Microscopic Derivation and Examples,
Ann. Henri Poincaré 17
(2016), no. 9, 22852340
arXiv
Article

(with M. Berta and M.M. Wilde)
Monotonicity of quantum relative entropy and recoverability,
Q. Inf. Comp.
15 (2015), no. 15 & 16, 13331354
arXiv
Article

(with D. Damanik, M. Lukic and W. Yessen)
New Anomalous LiebRobinson Bounds in QuasiPeriodic XY Chains,
Phys. Rev. Lett.
113 (2014), 127202
arXiv
Article

(with D. Damanik, M. Lukic and W. Yessen)
On Anomalous LiebRobinson Bounds for the Fibonacci XY Chain,
J. Spectr. Theory 6 (2016), no. 8, 601628
arXiv
Article

New counterexamples for sumsdifferences,
Proc. Amer. Math. Soc.
143 (2015), no. 9, 38633868
arXiv
Article
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Last update: May 10, 2020