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We study Brownian motion and the associated Langevin equation in AdS/CFT.
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E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2
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S. S. Gubser, “Drag force in AdS/CFT,” Phys. Rev. D 74
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C. P. Herzog, “Energy loss of heavy quarks from asymptotically AdS geometries,” JHEP 0609
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J. Casalderrey-Solana and D. Teaney, “Heavy quark diffusion in strongly coupled N = 4 Yang Mills,” Phys. Rev. D 74
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V. Balasubramanian, P. Kraus and A. E. Lawrence, “Bulk vs. boundary dynamics in anti-de Sitter spacetime,” Phys. Rev. D 59
1999
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O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, “Large N field theories, string theory and gravity,” Phys. Rept. 323
2000
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S. Hemming and E. Keski-Vakkuri, “Hawking radiation from AdS black holes,” Phys. Rev. D 64
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V. P. Frolov and D. Fursaev, “Mining energy from a black hole by strings,” Phys. Rev. D 63
2001
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P. Kovtun, D. T. Son and A. O. Starinets, “Holography and hydrodynamics: Diffusion on stretched horizons,” JHEP 0310
2003
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N. Iizuka, D. N. Kabat, G. Lifschytz and D. A. Lowe, “Quasiparticle picture of black holes and the entropy-area relation,” Phys. Rev. D 67
2003
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N. Iizuka, D. N. Kabat, G. Lifschytz and D. A. Lowe, “Stretched horizons, quasiparticles and quasinormal modes,” Phys. Rev. D 68
2003
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2007
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J. Casalderrey-Solana and D. Teaney, “Transverse momentum broadening of a fast quark in a N = 4 Yang Mills plasma,” JHEP 0704
2007
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2007
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2007
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2008
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I. Bena and N. P. Warner, “Black holes, black rings and their microstates,” Lect. Notes Phys. 755
2008
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K. Skenderis and M. Taylor, “The fuzzball proposal for black holes,” Phys. Rept. 467
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2008
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S. S. Gubser, “Momentum fluctuations of heavy quarks in the gauge-string duality,” Nucl. Phys. B 790
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D. Mateos, “String Theory and Quantum Chromodynamics,” Class. Quant. Grav. 24
2008
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M. Fujita, “Non-equilibrium thermodynamics near the horizon and holography,” JHEP 0810
2008
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Y. Sekino and L. Susskind, “Fast Scramblers,” JHEP 0810
2096
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