Research

Preprint and Submitted Articles

[52] (With Remco van der Hofstad and Rounak Ray) Percolation on preferential attachment models. Preprint available at https://arxiv.org/abs/2312.14085.

[51] (With Pierfrancesco Dionigi, Diego Garlaschelli and  Frank den Hollander) Largest Eigenvalue of the Configuration Model and Breaking of Ensemble Equivalence. Preprint available at https://arxiv.org/pdf/2312.07812.pdf

[50] (with Luca Avena and Nandan Malhotra) Limiting spectra of inhomogeneous random graphs. Preprint available at https://arxiv.org/pdf/2312.02805.pdf

[49] (with Luca Avena, Federico Capannoli and Matteo Quattropani) Meeting, coalescence and consensus time on random directed graphs. Preprint available at https://arxiv.org/abs/2308.01832

[48] (with Frank den Hollander and Maarten Markering ) Large deviation principle for the norm of the Laplacian matrix of inhomogeneous Erdős-Rényi random graphs. Preprint available at https://arxiv.org/abs/2307.02324

[47] (with Luca Avena, Diego Garlaschelli and Margherita Lalli ) Inhomogeneous random graphs with infinite-mean fitness variables. Preprint available at https://arxiv.org/abs/2212.08462.

[46] ( Alessandro Garavaglia, Remco van der Hofstad, Rounak Ray) Universality of the local limit of preferential attachment models. Preprint available at https://arxiv.org/abs/2212.05551. 

Accepted Articles :

[45] (With Luca Avena, Rangel Baldasso, Frank den Hollander and Matteo Qattropani) Discordant edges for the voter model on regular random graphs. Preprint available at https://arxiv.org/abs/2209.01037. To appear in ALEA. 

[44]  (With Alessandra Cipriani, Alan Rapport, Wiolleta Ruszel) Properties of the gradient squared of the discrete Gaussian free field. Available at https://arxiv.org/abs/2207.09401.  To appear in Journal of Statistical Physics. 

[43] (With Pierfrancesco Dionigi, Diego Garlaschelli, Frank den Hollander and Michel Mandjes) Central limit theorem for the principal eigenvalue and eigenvector of Chung-Lu random graphs.  Journal of Physics: Complexity, Volume 4, Number 1, 2023. Available at https://arxiv.org/abs/2207.03531

[42] (With Souvik Ray, Parthanil Roy and Philippe Soulier) Branching random walk with infinite progeny mean: a tale of two tails. To appear in Stochastic Processes and their Applications.  Available at https://arxiv.org/pdf/1909.08948.pdf

[41] (With Biltu Dan, Alessandra Cipriani, Rounak Ray) Maximum of the membrane model on regular trees. To appear in Journal of Statistical Physics. Available at https://arxiv.org/abs/2107.12276.

[40] ( With Arijit Chakrabarty, Frank den Hollander and Matteo Sfragara) Large deviation principle for the maximal eigenvalue of inhomogeneous Erdős-Rényi random graphs.  To appear in Journal of Theoretical Probability. Available at https://arxiv.org/abs/2008.08367.

[39]  (With Anirban Chatterjee) Spectral properties of the Laplacian of a generalized Wigner matrix. To appear in Random Matrices: Theory and Applications. Available at https://arxiv.org/abs/2011.07912/ 

[38] (With Alessandra Cipriani and Biltu Dan) The scaling limit of the $\Nabla+\Delta$-model.  To appear in Journal of Statistical Physics. Available at https://arxiv.org/pdf/1808.02676.pdf

[37] (With Arijit Chakrabarty and Sukrit Chakraborty) Eigenvalues outside the bulk of inhomogeneous Erdős-Rënyi random graphs. To appear in Journal of Statistical Physics. Available at https://arxiv.org/abs/1911.08244

[36] (With Alessandra Cipriani and Biltu Dan) Scaling limit of semiflexible polymers: a phase transition. To appear in Communications in Mathematical Physics.  Available at https://arxiv.org/abs/1909.10356.

[35] (With Arijit Chakrabarty, Frank den Hollander and Matteo Sfragara) Spectra of Adjacency and Laplacian Matrices of Inhomogeneous Erdős-Rényi Random Graphs.  To appear in Random Matrices: Theory and Applications. Available at https://arxiv.org/abs/1807.10112 

[34] (With Arijit Chakrabarty and Sukrit Chakraborty) Regular variation and free regular infinitely divisible laws. Available at https://arxiv.org/pdf/1804.07119.pdf. To appear in Statistics and Probability Letters.

[33] (With Alessandra Cipriani and Biltu Dan) The scaling limit of the membrane model. Available at https://arxiv.org/abs/1801.05663. To appear in Annals of Probability.

[32] With Arijit Chakrabarty and Sukrit Chakraborty)  A note on the folklore of free independence.  Statistics and Applications. Volume 19, No. 1, 2021 (New Series), pp 187–198. Available at https://arxiv.org/abs/1802.00952

[31] (With Sayan Das) Extremal process of the zero-average Gaussian Free Field for d≥3.  Available at https://arxiv.org/pdf/1808.03500.pdf. To appear in Statistics and Probability Letters. 

[30] (With Sukrit Chakraborty) Boolean convolutions and regular variation. To appear in ALEA  (Latin American Journal of Probability and Mathematical Statistics).  Available at https://arxiv.org/pdf/1710.11402.pdf

[29] (with  Alessandra Cipriani and Wioletta M. Ruszel)  Scaling limit of the odometer in divisible sandpiles. To appear in Probability theory and related fields. Available at  http://arxiv.org/abs/1604.03754.

[28] (with  Alessandra Cipriani and Wioletta M. Ruszel)  The divisible sandpile with heavy-tailed variables. To appear in Stochastic Processes and their applications. Available at https://arxiv.org/abs/1610.09863.

[27] (With Ayan Bhattacharya and Parthanil Roy) Branching Random Walks, Stable Point Processes and Regular Variation.To appear in Stochastic Processes and their application. Available at http://arxiv.org/abs/1601.01656

[26] (With Alberto Chiarini and Alessandra Cipriani) Extremes of some Gaussian random interfaces.  Journal of Statistical Physics. Vol 165, No. 5, 2016. Available at http://arxiv.org/abs/1509.08903

[25] (With Alberto Chiarini and Alessandra Cipriani) Extremes of the supercritical Gaussian Free Field. ALEA (Latin American Journal of Probability and Mathematical Statistics)Vol 13, pages 711-724, 2016. Available at http://arxiv.org/abs/1504.07819

[24] (With Arijit Chakrabarty and Deepayan Sarkar) From random matrices to long range dependence. Random Matrices: Theory and Applications. Vol 5, No 2, 2016. Available at http://arxiv.org/abs/1401.0780

[23] (With Ayan Bhattacharya and Parthanil Roy)  Branching random walk with step size coming from power law. Journal of Physics: Conference Series, Vol. 638. No. 1, 2015. [ Conference proceeding] 

[22] (With Ayan Bhattacharya and Parthanil Roy) Point process convergence for branching random walks with regularly varying steps.  Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques, Vol 53, no2, 2017. Available at http://arxiv.org/abs/1411.5646

[21] (With Alberto Chiarini and Alessandra Cipriani) A note on the extremal process of the supercritical Gaussian Free Field. Electronic Communications in Probability. 20, No 74, 2015. Available at http://arxiv.org/abs/1505.05324

[20] (With Alessandra Cipriani) Thick points for Gaussian free fields with different cut-offs. Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques, Vol 53, No 1, 2017. Preprint available at http://arxiv.org/abs/1407.5840

[19] (With Arijit Chakrabarty and Deepayan Sarkar) Limiting spectral distribution of Wigner matrices with dependent entries. Acta Physica Polonica B. Vol 46, No 9, 2015. Preprint available at http://arxiv.org/abs/1304.3394.

[18] (With Arijit Chakrabarty) Remarks on absolute continuity in the context of free probability and random matrices. Proceedings of American Mathematical Society. Vol 144, No 3, 2015. Available at http://arxiv.org/abs/1409.2217

[17] (With Alessandra Cipriani) Thick points for a Gaussian Free Field in 4 dimensions. Stochastic Processes and their application. Volume 125, Issue 6, 2015.  Available at http://arxiv.org/abs/1307.070

 [16] (With Philippe Deprez and  Mario V. Wuthrich) Inhomogeneous Long-Range Percolation for Real-Life Network Modeling. Risks, 2015, 3(1), 1-23; Available at http://www.mdpi.com/2227-9091/3/1/1

[15] (With Krishanu Maulik ) Free subexponentiality.  Annals of Probability. Vol. 41, No. 2, 961–988,  2013. Preprint available at http://arxiv.org/abs/1009.4786

[14] (With Arup Bose and Koushik Saha) Product of exponentials and spectral radius of  random k circulants.  Annales de l'Institut Henri Poincare Probabilites et Statistiques. Vol 48, No. 2, 424-443, 2012.

[13] (With Arup Bose and Koushik Saha)  Extremum of Circulant type matrices: a survey. Journal of Indian Statistical Association, Vol. 50, No.1, 2012.

[12] (With Krishanu Maulik) Tail behavior of randomly weighted sums. 44, no. 3, 794-814, 2012. Advances in Applied Probability.   Available at  http://arxiv.org/abs/1011.4349v1.

[11] ( With Arup Bose, Shirshendu Ganguly and Riddhipratim Basu) Limiting Spectral Distribution of Block Matrices with  Toeplitz Block Structure.  Statistics and Probability Letters. Vol. 82, No.7, 1430–1438, 2012. Available at http://arxiv.org/abs/1111.1901.

[10] ( With Arup Bose, Shirshendu Ganguly and Riddhipratim Basu)  Spectral properties of random triangular matrices. To appear in Random Matrices: Theory and Application. Available at http://arxiv.org/abs/1110.1062

[9] (With Arup Bose, Shirshendu Ganguly and Riddhipratim Basu) Joint convergence of several copies of different patterned random matrices.  Vol.17, Article 82, 2012.  Electronic Journal of Probability. Available at http://arxiv.org/abs/1108.4099

[8] (With Arup Bose and Koushik Saha) Spectral norm of circulant type matrices. Journal of Theoretical Probability, Vol. 24, No.2, 479-516, 2011.

[7] (With Arup Bose and Koushik Saha) Poisson convergence of eigenvalues of circulant type matrices.  Extremes. Volume 14, Number 4, 365-392, 2011.

[6] (With Arup Bose and Koushik Saha). Convergence of joint moments for independent random patterned matrices. Annals of Probability, Volume 39, Number 4 (2011), 1607-1620. Online link (requires subscription) is available here. An earlier version available here.

[5] (With Arup Bose and Koushik Saha) Half independence and Half Cumulants.   Electronic Communications in Probability. Vol 16, 405–422, 2011.

[4] (With Arup Bose, Suman Guha and Koushik Saha) Circulant type matrices with heavy tailed entries. Statistics & Probability Letters, Volume 81, Issue 11, November 2011, Pages 1706-1716.

[3] (With Arup Bose and Koushik Saha) Spectral norm of circulant type matrices with heavy tailed entries. Electronic Communications in Probability.Vol 15, 299--313 ,2010.

[2] (With Arup Bose and Koushik Saha) Patterned random matrices and method of moments. Proceedings of the International Congress of Mathematicians Hyderabad, India, 2010, 2203-2230. World Scientific, Singapore and Imperial College Press, UK. 

[1] (With Arup Bose and Koushik Saha) Limiting spectral distribution of circulant type matrices with dependent inputs, Electronic Journal of Probability. Vol. 14, 2463-2491, 2009.

Preprints (Not to be submitted in the present format)

(With Krishanu Maulik) Products in conditional extreme value model. Available at http://arxiv.org/abs/1104.1688