Luca Guido Molinari: Publications

PUBLICATIONS by Luca Guido Molinari

[94] Conformal Killing cosmology, Sinyukov tensors and growth of strucures<\br> Carlo Alberto Mantica and Luca Guido Molinari
arXiv: 2404.11468 [gr-qc]

[93] Friedmann equations in the Codazzi parametrization of Cotton and extended theories of gravity and the dark sector
Carlo Alberto Mantica and Luca Guido Molinari
Phys. Rev. D 109, 044059 (2024)
doi: 10.1103/PhysRevD.109.044059
arXiv: 2312.02784 [gr-qc]

[92] Note on Harada's Conformal Killing gravity
Carlo Alberto Mantica and Luca Guido Molinari
Phys. Rev. D 108, 124029 (2023)
doi: 10.1103/PhysRevD.108.124029
arXiv: 2308.06803 [gr-qc]

[91] The covariant approach to static space-times in Einstein and extended gravity theories
Carlo Alberto Mantica and Luca Guido Molinari
General Relativity and Gravitation (2023) 55:100 (31pp) Open Access
doi: 10.1007/s10714-023-03149-w (open access)
arXiv: 2306.05863 [gr-qc]

[90] Codazzi tensors and their space-times, and Cotton gravity (open access)
Carlo Alberto Mantica and Luca Guido Molinari
General Relativity and Gravitation (2023) 55:65 (24pages).
doi:10.1007/s10714-023-03106-7 (open access)
arXiv: 2210.06173 [gr-qc]

[89] Graphene nanocones and Pascal matrices - some determinantal conjectures
Luca Guido Molinari
arXiv: 2206.14428 [math.CO]

[88] A note on trigonometric approximations of Bessel functions of the first kind, and trigonometric poweer sums(open access)
Luca Guido Molinari
Fundamental Journal of Mathematics and Applications 5 (4) (2022) 266--272
arXiv: 2206.05334 [math.GM]

[87] Spherical doubly warped spacetimes for radiating stars and cosmology
Carlo Alberto Mantica and Luca Guido Molinari
Gen. Relativ. Gravit. (2022) 54:98 (34pp)
doi:10.1007/s10714-022-02984-7 (open access)
arXiv: 2204.11617 [gr.cq]

[86] A note on generalized Quasi-Einstein and (l, n + m) - Einstein Manifolds with harmonic conformal tensor
Sameh Shenawy, Carlo Alberto Mantica, Luca Guido Molinari and Nasser Bin Turki
Mathematics 10, (2022) 1731

[85] Geometric perfect fluids from Extended Gravity
Salvatore Capozziello, Carlo Alberto Mantica and Luca Guido Molinari
Europhysics Letters 137 n.1 (2022) 19001 (6pp) Perspectives (free online)
doi: 10.1209/0295-5075/ac525d
arXiv: 2201.08705 [gr.cq]

[84] Doubly torqued vectors and a classification of doubly twisted and Kundt spacetimes
Carlo Alberto Mantica and Luca Guido Molinari
Gen. Relativ. Gravit. 53, 48 (2021)
arXiv: 2102.01555 [gr.cq]
doi: 10.1007/s10714-021-02819-x (open access)

[83] A simple characterization of doubly-twisted spacetimes
Carlo Alberto Mantica and Luca Guido Molinari
Int. J. Geom. Meth. Mod. Phys. 18 (5) (2021) 2150079
arXiv: 2101.02208 [gr.cg]
doi: 10.1142/S0219887821500791

[82] Some Neumann-Bessel series and the Laplacian on polygons
Luca Guido Molinari
Journal of Mathematical Physics 62 (5) (2021) 053502 (7pp.)
arXiv: 2012.08944 [math.SP]
doi: 10.1063/5.0037872

[81] General properties of f(R) gravity vacuum solutions
Salvatore Capozziello, Carlo Alberto Mantica and Luca Guido Molinari
Int. J. Mod. Phys. D 29 n.13 (2020) 2050089
arXiv: 2007.13328 [gr-qc]
doi: 10.1142/S0218271820500893

[80] Jordan algebras of Riemann, Weyl and curvature compatible tensors
Carlo Alberto Mantica and Luca Guido Molinari
Coll. Mathematicum 167 (2022) 63--72
arXiv: 1910.03929 [math.dg]
doi: 10.4064/cm8067-10-2020 (free download)

[79] Cosmological perfect fluids in higher-order gravity
Salvatore Capozziello, Carlo Alberto Mantica and Luca Guido Molinari
Gen. Relativ. Gravit. (2020) 52:36 (9pp.)
doi:10.1007/s10714-020-02690-2
arXiv: 1908.10176 [gr-qc]

[78] On the uniqueness of a shear-vorticity-acceleration-free velocity field in space-times (free read-only)
Luca Guido Molinari, Adriano Tacchini and Carlo Alberto Mantica
Gen. Relativ. Gravit. (2019) 51:217 (13pp.)
doi:10.1007/s10714-019-2607-1
arXiv: 1910.01351 [gr-qc]

[77] Cosmological perfect-fluids in Gauss-Bonnet gravity
Salvatore Capozziello, Carlo Alberto Mantica and Luca Guido Molinari
Int. J. Geom. Meth. Mod. Phys. 19 n.9 (2019) 1950133 (8pp)
doi:10.1142/S0219887819501330
arXiv:1906.05693 [gr-qc]

[76] Selberg integrals in 1D random Euclidean optimization problems
Sergio Caracciolo, Andrea Di Gioacchino, Enrico M. Malatesta and Luca G. Molinari
J. Stat. Mech. (2019) 063401
doi: 10.1088/1742-5468/ab11d7
arXiv:1810.00587 [cond-mat.dis-nn]

[75] w=1/3 to w=-1 evolution in Robertson-Walker space-times with constant scalar curvature
Luca Guido Molinari and Carlo Alberto Mantica
Int. J. Geom. Meth. Mod. Phys. 16 n.4 (2019) 1950061 (9pp)
doi:10.1142/S0219887819500610
arXiv:1905.06218 [physics.gen-ph]

[74] Cosmological perfect-fluids in f(R) gravity
Salvatore Capozziello, Carlo Alberto Mantica and Luca Guido Molinari
Int. J. Geom. Meth. Mod. Phys. 16 n.1 (2019) 1950008 (14pp)
doi:10.1142/S0219887819500087
arXiv:1810.03204 [gr-qc]

[73] A note on Concircular Structure space-times
Carlo Alberto Mantica and Luca Guido Molinari
Commun. Korean Math. Soc. 34 (2019) n.2 633-635
doi: 10.4134/CKMS.c180138 (free access)
arXiv:1804.02272 [math.ph]

[72] A simple property of the Weyl tensor for a shear, vorticity and acceleration-free velocity field
Luca Guido Molinari and Carlo Alberto Mantica
Gen. Relativ. Gravit. 81 (2018) 50 (7pp)
doi: 10.1007/s10714-018-2398-9
arXiv:1801.01368 [math.ph] (old version: 'A remarkable property of the Weyl tensor in twisted space-times')

[71] Perfect fluid, generalized Robertson-Walkes space-times, and Gray's decomposition
Carlo Alberto Mantica, Luca Guido Molinari, Young Jin Suh and Sameh Shenawy
J. Math. Phys. 60 (2019) 052506
doi: 10.1063/1.5089040
arXiv:1901.04070 [gr-qc]

[70] Jack on a Devil's staircase
Andrea Di Gioacchino, Marco Gherardi, Luca Guido Molinari and Pietro Rotondo
Contribution to the volume `Toward a Science Campus in Milan', Editors: Bortignon P.F., Lodato G., Meroni E., Paris M., Perini L., Vicini A. (Springer 2018)
arXiv:1711.07860 [cond-mat.str-el]
doi:10.1007/978-3-030-01629-6_16 (free access)

[69] Shear and vorticity of perfect-fluid spacetimes and the shear-free conjecture
Carlo Alberto Mantica and Luca Guido Molinari
arXiv.org:1709.03547 [gr-qc]

[68] Perfect fluids spacetimes with harmonic generalized curvature tensor
Carlo Alberto Mantica, Uday Chand De, Young Jin Suh and Luca Guido Molinari
Osaka Journal of Mathematics 56 n.1 (2019) 173--182.
url:Project Euclid (free access)

[67] Unified Fock space representation of fractional quantum Hall states.
Andrea Di Gioacchino, Luca G. Molinari, Vittorio Erba and Pietro Rotondo
Phys. Rev. B 95 n.24 (2017) 245123
doi:10.1103/PhysRevB.95.245123
arXiv:1705.07073 [cond-mat.str-el]

[66] Twisted Lorentzian manifolds, a characterization with torse-forming time-like unit vectors.
Carlo Alberto Mantica and Luca Guido Molinari
Gen. Relativ. Gravit. 49:51 (2017)
doi: 10.1007/s10714-017-2211-1
arXiv:1612.06715 [gr-qc]

[65] Generalized Robertson Walker spacetimes: a survey.
Carlo Alberto Mantica and Luca Guido Molinari
Int. J. Geom. Meth. Mod. Phys. 14 (2017) 1730001 (27 pages)
doi:10.1142/S021988781730001X
arXiv:1612.07021 [math-ph]

[64] Simple conformally recurrent space-times are conformally recurrent pp-waves.
Carlo Alberto Mantica and Luca Guido Molinari
Coll. Math. 150 (1) (2017) 9--20
doi:10.4064/cm7002s-11-2016
arXiv:1708.04227 [math-ph]

[63] A note on extended Lorentzian recurrent manifolds.
Carlo Alberto Mantica and Luca Guido Molinari
arXiv:1608.07587 [math-ph]

[62] On the Weyl and Ricci tensors of Generalized Robertson-Walker space-times.
Carlo Alberto Mantica and Luca Guido Molinari
J. Math. Phys. 57 n.10 (2016) 102502 pp.6
doi:10.1063/1.4965714
arXiv:1608.01209 [math-ph]

[61] Random Antagonistic Matrices.
Giovanni M. Cicuta and Luca Guido Molinari
J. Phys. A: Math. Theor. 49 (2016) 375601 (16pp)
doi:10.1088/1751-8113/49/37/375601
arXiv:1605.00531 [math-ph]

[60] On weakly cyclic Z symmetric spacetimes.
Uday Chand De, Carlo Alberto Mantica, Luca Guido Molinari and Young Jin Suh
Acta Mathematica Hungarica 149 n.2 (2016) 462--477
see on Springer site (free read-only)
doi:10.1007/s10474-016-0612-3

[59] A condition for a perfect-fluid space-time to be a generalized Robertson-Walker space-time.
Carlo Alberto Mantica, Luca Guido Molinari and Uday Chand De
J. Math. Phys. 57, 022508 (2016);
doi:10.1063/1.4941942
arXiv:1508.05833 [math.DG];

[58] Devil's staircase phase diagram of the fractional quantum Hall effect in the thin-torus limit.
Pietro Rotondo, Luca G. Molinari, Piergiorgio Ratti and Marco Gherardi
Phys. Rev. Lett. 116, 256803 (2016)
doi:10.1103/PhysRevLett.116.256803
arXiv:1508.04414v2 [cond-mat.str-el]

[57] On conformally recurrent manifolds of dimension greater than 4
Carlo A. Mantica and Luca G. Molinari
Int. J. Geom. Meth. Mod. Phys. 13 (2016) 1650053 (17 pages),
doi:10.1142/S0219887816500535
arXiv:1409.6465 [math.DG] (with another title)

[56] Conformally quasi-recurrent pseudo-Riemannian manifolds
Carlo A. Mantica and Luca G. Molinari
arXiv:1305.5060 [math.DG] (revised)

[55] Weyl compatible tensors
Carlo A. Mantica and Luca G. Molinari
Int. J. Geom. Meth. Mod. Phys. 11 (2014) 1450070 (15pp)
doi:10.1142/S0219887814500704
arXiv:1212.1273 [math.DG]

[54] Identities and exponential bounds for transfer matrices
Luca G. Molinari
J. Phys. A: Math. and Theor. 46 (2013) 254004 (15pp)
(Special issue on Lyapunov analysis: from dynamical systems theory to applications, edited by F. Ginelli and M. Cencini)
doi:10.1088/1751-8113/46/25/254004
arXiv:1210.8001 [math-ph]

[53] Riemann compatible tensors
Carlo A. Mantica and Luca G. Molinari
Colloq. Math. 128 n.2 (2012) 197-210;
doi:10.4064/cm128-2-5 (free download)
arXiv:1204.1211 [math.DG]

[52] Weakly Z symmetric manifolds
Carlo A. Mantica and Luca G. Molinari
Acta Math. Hungar. 135 (2012) 80-96
doi:10.1007/s10474-011-0166-3
arXiv:1102.5240 [math.DG]

[51] Counting the exponents of single transfer matrices
Luca G. Molinari and Giuseppe Lacagnina
J. Math. Phys. 52 (2011) 063051 (8 pages),
doi:10.1063/1.3594654
arXiv:1102.1641 [math-ph]

[50] Extended Derdzinski Shen theorem for the Riemann tensor
Carlo A. Mantica and Luca G. Molinari
Coll. Math. 128 n.1 (2012) 1-6,
doi:10.4064/cm128-1-1 (free download)
arXiv:1101.4157 [math.DG]

[49] Phase transitions
G. M. Cicuta and L. G. Molinari
The Oxford Handbook of Random Matrix Theory,
editors G.Akemann, J.Baik, Ph. Di Francesco, Oxford Univ. Press. (2011)
doi:10.1093/oxfordhb/9780198744191.013.14

[48] A second-order identity for the Riemann tensor and applications
Carlo A. Mantica and Luca G. Molinari
Colloq. Math. 122 (2011) 69-82
doi:10.4064/cm122-1-7 (free download)
arXiv:0802.0650 [math.DG]

[47] Disk-annulus transition and localization in random non-Hermitian tridiagonal matrices
L. G. Molinari and G. Lacagnina
J. Phys. A: Math. Theor. 42 (2009) 395204 (9pp)
doi:10.1088/1751-8113/42/39/395204
arxiv: 0905.2489 [math-ph]

[46] Double excitations in finite systems
P. Romaniello, D. Sangalli, J.A. Berger, F. Sottile, L.G. Molinari, L. Reining and G. Onida
J. Chem. Phys. 130, 044108-1 (2009)
doi:10.1063/1.3065669

[45] Non-Hermitean spectra and Anderson localization
Luca Guido Molinari
J. Phys. A: Gen. Theor. 42 (2009) 265204
doi:10.1088/1751-8113/42/26/265204
arXiv:0808.1241 [math-ph]

[44] Determinants of block tridiagonal matrices
Luca Guido Molinari
Linear Algebra and its Applications 429, 2221-2226 (2008)
doi:10.1016/j.laa.2008.06.015 (free access)
arXiv:0712.0681 [math-ph]

[43] Ab-initio self-energy corrections in systems with metallic screening
M. Cazzaniga, N. Manini, L. G. Molinari and G. Onida
Phys. Rev. B 77, 035117 (2008)
doi:10.1103/PhysRevB.77.035117
arXiv:0709.1564

[42] Another proof of Gell-Mann and Low's theorem
Luca Guido Molinari
J. Math. Phys. 48, 052113 (2007)
doi:10.1063/1.2740469
arXiv:0612030 [math-ph]

[41] Enumeration of many-body skeleton diagrams
L. G. Molinari and N. Manini
Eur. Phys. J. B 51, 331 (2006)
doi:10.1140/epjb/e2006-00223-9
arXiv:cond-mat/0512342

[40] Hedin's equations and enumeration of Feynman diagrams
Luca Guido Molinari
Phys. Rev. B 71, 113102 (2005)
doi:10.1103/PhysRevB.71.113102
arXiv:cond-mat/0401500

[39] Low-energy unphysical saddle in polynomial molecular potentials
A. Del Monte, N. Manini, L. G. Molinari and G. P. Brivio
Molecular Physics 103, 689-696 (2005)
doi:10.1080/00268970412331332114

[38] Many-body method for infinite nonperiodic systems
G. Fratesi, L. G.Molinari and G. P. Brivio
Phys. Rev. B 69, 245113 (2004)
doi:10.1103/PhysRevB.69.245113
arXiv:physics/0311016

[37] Virtual photon contribution to frictional drag in double-layer devices
A. Donarini, R. Ferrari, A. P. Jauho and L. Molinari
Phys. Lett. A 312, 123 (2003)
doi:10.1016/S0375-9601(03)00608-X
arXiv:cond-mat/0211600

[36] Spectral duality and distribution of exponents for transfer matrices of block-tridiagonal Hamiltonians
Luca Molinari
J. Phys. A: Math. Gen. 36, 4081 (2003)
doi:10.1088/0305-4470/36/14/311
arXiv:math-ph/0210042

[35] Yang-Mills Integrals
G. M. Cicuta, L. Molinari and G. Vernizzi
J. Phys. A: Math. Gen. 35 L51-L59 (2002)
doi:10.1088/0305-4470/35/4/102
arXiv:hep-th/0109160

[34] Enumeration of simple random walks and tridiagonal matrices
G. M. Cicuta, M. Contedini and L. Molinari
J. Phys. A: Math. Gen. 35 (5) 1125-1146 (2002)
doi:10.1088/0305-4470/35/5/302
arXiv:cond-mat/0011360

[33] Non-Hermitian tridiagonal random matrices and returns to the origin of a random walk
G. M. Cicuta, M. Contedini and L. Molinari
J. Stat. Phys. 98 685-699 (2000)
doi:10.1023/A:1018671308053
arXiv:cond-mat/9907014

[32] Nonuniversality of compact support probability distributions in random matrix theory
G. Akemann, G. M. Cicuta, L. Molinari and G. Vernizzi
Phys. Rev. E 60 5287-5292 (1999)
doi:10.1103/PhysRevE.60.5287
arXiv:cond-mat/9904446

[31] Compact support probability distributions in random matrix theory
G. Akemann, G. M. Cicuta, L. Molinari and G. Vernizzi
Phys. Rev. E 59 1489-1497 (1999)
doi:10.1103/PhysRevE.59.1489
arXiv:cond-mat/9809270

[30] Transfer matrices, non-Hermitean Hamiltonians and resolvents: some spectral identities
Luca Molinari
J. Phys. A: Math. Gen. 31, 8553-8562 (1998)
doi:10.1088/0305-4470/31/42/014

[29] On the ground state of regular polygonal billiards
Luca Molinari
J. Phys. A: Math. Gen. 30, 6517-6524 (1997)
doi:10.1088/0305-4470/30/18/025

[28] Transfer matrices and tridiagonal-block Hamiltonians with periodic and scattering boundary conditions
Luca Molinari
J. Phys. A: Math. Gen. 30, 983-997 (1997)
doi:10.1088/0305-4470/30/3/021

[27] A matrix model for random surfaces with dynamical holes
G. M. Cicuta, L. Molinari, E. Montaldi and S. Stramaglia
J. Phys. A: Math. Gen. 29, 3769-3785 (1997)
doi:10.1088/0305-4470/29/14/006

[26] Periodic and non-periodic Band Random Matrices: structure of eigenstates
F. M. Izrailev, L. Molinari and K. Zyczkowski
J. Phys. I France 6 (4), 455-469 (1996)
doi:10.1051/jp1:1996224

[25] Parametric spectral correlations of disordered systems in the Fourier domain
I. Guarneri, K. Zyczkowski, J. Zakrzewski, L. Molinari and G. Casati
Phys. Rev. E 52, 2220-2235 (1995)
doi:10.1103/PhysRevE.52.2220
arXiv:chao-dyn/9501019

[24] Coulomb-gas approach to quantum motion in random magnetic fields
B. Cardinetti, V. G. Benza and L. Molinari
Phys. Rev. B 52, R5499 (1995)
doi:10.1103/PhysRevB.52.R5499

[23] Band random matrices, kicked rotator and disordered systems
Luca Molinari
Third Max Born Symposium on Stochasticity and Chaos, Wroclaw 1993.
Math. Appl. 317, 149-160 (1995)
doi:10.1007/978-94-011-0169-1

[22] Level curvatures and metal-insulator transition in 3d Anderson model
K. Zyczkowski, L. Molinari and F. Izrailev
J. Phys. I France 4, 1469 (1994)
doi:10.1051/jp1:1994201

[21] Introduction to matrix models and statistical mechanics on random lattices
L. Molinari
Acta Phys. Polonica B 25, 925-941 (1994)

[20] Periodic Band Random Matrices, Curvature, and Conductance in Disordered Media
G. Casati, I. Guarneri, F. M. Izrailev, L. Molinari and K. Zyczkowki
Phys. Rev. Lett. 72, 2697 (1994)
doi:10.1103/PhysRevLett.72.2697

[19] Scaling of distribution of eigenvectors in a 1D Anderson model
Luca Molinari
J. Phys.: Condens. Matter. 5, L319-L322 (1993)
doi:10.1088/0953-8984/5/23/002

[18] Matrix models and graph colouring
G. M. Cicuta, L. Molinari and E. Montaldi
Phys. Lett. B 306, 245-251 (1993)
doi:10.1016/0370-2693(93)90075-S

[17] The large N magnetization in matrix models revisited
L. Molinari and E. Montaldi
Il Nuovo Cimento D 15, 293-298 (1993)
doi:10.1007/BF02456912

[16] Two-parameter scaling in the Wigner Ensemble
M. Feingold, A. Gioletta, F. M. Izrailev and L. Molinari
Phys. Rev. Lett. 70, 2936 (1993)
doi:10.1103/PhysRevLett.70.2936

[15] Equation for limit functions of Band random Matrices
G. Casati, V. Girko and L. Molinari
Random Oper. & Stoch. Equ. 1, 91-94 (1993)
doi:10.1515/rose.1993.1.1.91

[14] Exact generalized Lyapunov exponents for one-dimensional disordered tight binding models
L. Molinari
J. Phys. A: Math. Gen. 25 (3), 513-520 (1992)
doi:10.1088/0305-4470/25/3/011

[13] Scaling of the information length in 1D tight-binding models
G. Casati, I. Guarneri, F. Izrailev, S. Fishman and L. Molinari
J. Phys.: Condens. Matter. 4, 149-156 (1992)
doi:10.1088/0953-8984/4/1/024

[12] Scaling properties of the eigenvalue scaling distribution for band random matrices
G. Casati, F. Izrailev and L. Molinari
J. Phys. A: Math. Gen. 24 (20), 4755-4762 (1991)
doi:10.1088/0305-4470/24/20/011

[11] The double-well phase of matrix models: the large-N general solution
L. Molinari and E. Montaldi
J. Phys. A: Math. Gen. 23 (21), 4995-5001 (1990)
doi:10.1088/0305-4470/23/21/034

[10] Multicritical points in matrix models
G. M. Cicuta, L. Molinari and E. Montaldi
J. Phys. A: Math. Gen. 23 (9), L421-L425 (1990)
doi:10.1088/0305-4470/23/9/004

[9] Scaling Properties of Band Random Matrices
Giulio Casati, Luca Molinari and Felix Izrailev
Phys. Rev. Lett. 64, 1851 (1990)
doi:10.1103/PhysRevLett.64.1851

[8] Level repulsion for band 3x3 random matrices
L. Molinari and V. V. Sokolov
J. Phys. A: Math. Gen. 22 (21), L999-L1000 (1989)
doi:10.1088/0305-4470/22/21/004

[7] Quantum Chaos with time-dependent Hamiltonians
G. Casati and L. Molinari
Progress of Theor. Phys. Suppl. 98, 287-322 (1989)
doi:10.1143/PTPS.98.287 (free access)

[6] Ising model on Feynman graphs
G. M. Cicuta, L. Molinari and E. Montaldi
Nucl. Phys. B 300, 197-206 (1988)
doi:10.1016/0550-3213(88)90593-7

[5] Phase structure of matrix models through orthogonal polynomials
Luca Molinari
J. Phys. A: Math. Gen. A 21 (1), 1-6 (1988)
doi:10.1088/0305-4470/21/1/011

[4] Large rectangular random matrices
G. M. Cicuta, L. Molinari, E. Montaldi and F. Riva
J. Math. Phys. 28, 1716-1718 (1987)
doi:10.1063/1.527481

[3] Large N spontaneous magnetization in zero dimension
G. M. Cicuta, L. Molinari and E. Montaldi
J. Phys. A: Math. Gen. A 20 (2), L67-L70 (1987)
doi:10.1088/0305-4470/20/2/005

[2] Large N phase transitions in low dimensions
G. M. Cicuta, L. Molinari and E. Montaldi
Modern Physics Letters A, 1, 125 (1986)
doi:10.1142/S021773238600018X

[1] The quantum mechanical planar propagator: from vector models to planar graphs
C. M. Canali, G. M. Cicuta, L. Molinari and E. Montaldi
Nucl. Phys. B 265, 485-505 (1986)
doi:10.1016/0550-3213(86)90170-7

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