Papers of George Androulakis


My ORCID identifier is 0000-0002-7237-6926 which contains my profile and links to all of my publications.

My arXiv public author identifier is androulakis_g_1 which contains the files of most of my publications.


Research Interests: Quantum information, Mathematical Physics, and Functional Analysis.


Grant support:

College of Arts and Sciences, Dean's initiative for travel for the years 2019, 2020, 2022, 2023, 2024.

National Science Foundation: DMS-9970547.

PUBLICATIONS

41.    Functional analysis with step-by-step exercises
G. Androulakis, M. Ziemke
A textbook for a two semester graduate course in functional analysis. Accepted for publication by World Scientific. For more information see the website of the book.
40.    Optimal lower bound for lossless quantum block encoding
G. Androulakis, R. Wosti
Quantum Information and Computation. Vol. 24, No. 13&14 (2024) 1110-1145.
ArXiv, journal.
39.    Optimal lower bound of the average indeterminate length lossless quantum block encoding
G. Androulakis, R. Wosti
2024 IEEE International Symposium on Information Theory (ISIT), Athens, Greece, 2024, pp. 2694-2699, doi: 10.1109/ISIT57864.2024.10619558.
journal.
38.    Relative Entropy via Distribution of Observables
G. Androulakis, T.C. John
Infin. Dimens. Anal. Quantum Probab. Relat. Top., Vol. 27, No. 02, 2350021 (2024).
ArXiv, journal.
37.    Petz-Rényi Relative Entropy of Thermal States and their Displacements
G. Androulakis, T.C. John
Letters in Mathematical Physics, (2024) 114:57.
ArXiv, journal.
36.    Quantum f-divergences via Nussbaum-Szkoła Distributions and Applications to f-divergence Inequalities
G. Androulakis, T.C. John
Reviews in Mathematical Physics, doi: 10.1142/S0129055X23600024.
ArXiv, journal.
35.    A Variational Quantum Algorithm For Approximating Convex Roofs
G. Androulakis, R. McGaha
Quantum Information and Computation, Vol. 22, No. 13&14 (2022) 1081–1109.
ArXiv, journal.
34.    Some remarks on the entanglement number
G. Androulakis, R. McGaha
Quanta 2020; 9: 22–36.
ArXiv, journal.
33.    The induced semigroup of Schwarz maps to the space of Hilbert-Schmidt operators
G. Androulakis, A. Wiedemann, M. Ziemke
Mathematical Physics, Analysis and Geometry 23, 10 (2020).
ArXiv, journal.
32.    Optimality in Quantum Data Compression using Dynamical Entropy
G. Androulakis, D. Wright
Phys. Rev. A 100, (2019) 032301.
ArXiv, journal.
31.    GKSL generators and digraphs: Computing invariant states
G. Androulakis, A. Wiedemann
J. Phys. A: Math. Theor. 52 (2019) 305201.
ArXiv, journal.
30.    On the non-linearity of quantum dynamical entropy
G. Androulakis, D. Wright
J. Math. Phys. Vol. 60, (2019), 053504.
ArXiv, journal.
29.    A connection between mixing and Kac's chaos
G. Androulakis, R. Musulin
Dynamical Systems, An International Journal Vol. 34, No 1, (2019), 113-129.
ArXiv, journal.
28.    Quantum Kac's chaos
G. Androulakis, R. Musulin
Commun. Math. Sci. Vol. 16, No 7, (2018), 1801-1825.
ArXiv, journal.
27.    On the closedness of the generator of a semigroup
G. Androulakis, M. Ziemke
Semigroup Forum Vol. 93, No. 3, (2016), 589-606.
ArXiv, journal.
26.    Generators of Quantum Markov semigroups
G. Androulakis, M. Ziemke
J. of Math. Phys. Volume 56, (2015), 083512.
ArXiv, journal.
25.    Dissipative dynamics in semiconductors at low temperature
G. Androulakis, J. Bellissard, C. Sadel
J. Stat. Phys. Volume 147, Issue 2, (2012), 448-486.
ArXiv, journal.
24.    Hyperinvariant subspace for weighted composition operator on $L^p([0,1]^d)$
G. Androulakis, A. Flattot
J. Operator Theory 66 (1) (2011), 125-144.
ArXiv, journal.
23.    On Banach spaces containing $\ell_p$ or $c_0$
G. Androulakis, N.J. Kalton, A. Tcaciuc
Houston J. Math. 37 (3) (2011), 859-866.
ArXiv, journal.
22.    A new approach to the Ramsey-type games and the Gowers dichotomy in F-spaces
G. Androulakis, S.J. Dilworth, N.J. Kalton
Combinatorica 30 (4) (2010), 359-385.
ArXiv, journal.
21.    Almost invariant half-spaces of operators on Banach spaces
G. Androulakis, A.I. Popov, A. Tcaciuc, V.G. Troitsky
Integral Equations and Operator Theory 65 (2009), 473-484.
ArXiv, journal.
20.    Classes of strictly singular operators and their products
G. Androulakis, P. Dodos, G. Sirotkin, V.G. Troitsky
Israel J. Math. 169, (2009), 221-250.
ArXiv, journal.
19.    An extension of Schreier unconditionality
G. Androulakis, F. Sanacory
Positivity 12 (2008), no. 2, 313--340.
journal.
18.    Descriptive set theoretic methods applied to strictly singular and strictly cosingular operators
G. Androulakis, K. Beanland
Quaestiones Mathematicae 31 (2008), 151-161.
ArXiv, journal.
17.    Some equivalent norms on the Hilbert space
G. Androulakis, F. Sanacory
Banach spaces and their applications in Analysis, de Gruyter 2007, 241-250.
journal.
16.    A new method for constructing invariant subspaces
G. Androulakis
J. Math. Anal. Appl. 333 (2007) 1254-1263.
ArXiv, journal.
15.    A Hereditarily Indecomposable Asymptotic $\ell_2$ Banach Space
G. Androulakis, K. Beanland
Glasgow Mathematical Journal 48 (2006) 503-532.
ArXiv, journal.
14.    Embedding $\ell_\infty$ into the space of bounded operators on certain Banach spaces
G. Androulakis, K. Beanland, S.J. Dilworth, F. Sanacory
Bull. London Math. Soc. 38 (2006) 979-990.
ArXiv, journal.
13.    On the structure of the spreading models of a Banach space
G. Androulakis, E. Odell, Th. Schlumprecht, N. Tomczak-Jaegermann
Canadian J. Math. Vol. 57 (4), (2005), 673-707.
ArXiv, journal.
12.    Space averages and homogeneous fluid flows
G. Androulakis, S. Dostoglou
Math. Phys. Electronic J. Vol. 10 (4) (2004), 1-12.
journal.
11.    A property of strictly singular 1-1 operators
G. Androulakis, P. Enflo
Ark. Mat. 41, (2003), 233-252.
ArXiv, journal.
10.    A note on the method of minimal vectors
G. Androulakis
Trends in Banach spaces and operator theory (Memphis, TN, 2001), 29-36,
Contemp. Math., 321, Amer. Math. Soc., Providence, RI, 2003.
ArXiv, journal.
9.    The Banach space S is complementably minimal and subsequentially prime
G. Androulakis, Th. Schlumprecht
Studia Math. 156 (3) (2003), 227-242.
ArXiv, journal.
8.    Strictly singular non-compact operators exist on the Gowers-Maurey space
G. Androulakis, Th. Schlumprecht
J. London Math. Soc. (2) 64 (2001), no 3, 655-674.
ArXiv, journal.
7.    Some more weak Hilbert spaces
G. Androulakis, P. Casazza, D. Kutzarova
Canad. Math. Bull. 43 (2000), no 3, 257-267.
ArXiv, journal.
6.    Positivity results for the Yang-Mills-Higgs Hessian
G. Androulakis, S. Dostoglou
Pacific J. Math. 194 (2000), no 1, 1-17.
journal.
5.    Distorting mixed Tsirelson spaces
G. Androulakis, E. Odell
Israel J. Math. 109 (1999) 125-149.
ArXiv, journal.
4.    On the stability of monopole solutions
G. Androulakis, S. Dostoglou
Nonlinearity 11 no. 3 (1998), 377-408.
journal.
3.    Twisted sums, Fenchel-Orlicz spaces and property (M)
G. Androulakis, C.D. Cazacu, N.J. Kalton
Houston J. Math. 24 no. 1 (1998), 105-126.
ArXiv, journal.
2.    A counterexample to a question of R. Haydon, E. Odell and H. Rosenthal
G. Androulakis
Proc. Amer. Math. Soc. 126 no. 5 (1998), 1425-1428.
ArXiv, journal.
1.    A subsequence characterization of sequences spanning isomorphically polyhedral Banach spaces
G. Androulakis
Studia Math. 127 no. 1 (1998), 65-80.
ArXiv, journal.
0.    Isomorphically polyhedral Banach spaces and mixed Tsirelson spaces of arbitrary distortion
G. Androulakis
Ph.D. dissertation University of Texas, Austin, TX 1996.
   On the subsymmetric sequences in S
G. Androulakis, Th. Schlumprecht
Unpublished, (can be provided upon request).


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