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Volumn 51, Issue 2, 2013, Pages 1758-1780

Capacitary measures for completely monotone kernels via singular control

Author keywords

Capacity theory; Infinite dimensional Riccati differential equation; Optimal order execution; Optimal trade execution; Singular control; Transient price impact; Verification argument

Indexed keywords

CAPACITY THEORY; OPTIMAL ORDER EXECUTION; PRICE IMPACTS; RICCATI DIFFERENTIAL EQUATION; SINGULAR CONTROL; TRADE EXECUTION;

EID: 84879665843     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/120862223     Document Type: Article
Times cited : (23)

References (22)
  • 1
    • 0003240596 scopus 로고    scopus 로고
    • Potential theory-selected topics
    • Springer-Verlag, Berlin
    • H. Aikawa and M. Essén, Potential Theory-Selected Topics, Lecture Notes in Math. 1633, Springer-Verlag, Berlin, 1996.
    • (1996) Lecture Notes in Math , vol.1633
    • Aikawa, H.1    Essén, M.2
  • 2
    • 75849147604 scopus 로고    scopus 로고
    • Constrained portfolio liquidation in a limit order book model
    • Institute of Mathematics of the Polish Academy of Sciences, Warsaw
    • A. Alfonsi, A. Fruth, and A. Schied, Constrained portfolio liquidation in a limit order book model, in Advances in Mathematics of Finance, Banach Center Publ. 83, Institute of Mathematics of the Polish Academy of Sciences, Warsaw, 2008, pp. 9-25.
    • (2008) Advances in Mathematics of Finance, Banach Center Publ , vol.83 , pp. 9-25
    • Alfonsi, A.1    Fruth, A.2    Schied, A.3
  • 3
    • 75849149693 scopus 로고    scopus 로고
    • Optimal execution strategies in limit order books with general shape functions
    • A. Alfonsi, A. Fruth, and A. Schied, Optimal execution strategies in limit order books with general shape functions, Quant. Finance, 10 (2010), pp. 143-157.
    • (2010) Quant. Finance , vol.10 , pp. 143-157
    • Alfonsi, A.1    Fruth, A.2    Schied, A.3
  • 4
    • 84862022504 scopus 로고    scopus 로고
    • Optimal trade execution and absence of price manipulations in limit order book models
    • A. Alfonsi and A. Schied, Optimal trade execution and absence of price manipulations in limit order book models, SIAM J. Financial Math., 1 (2010), pp. 490-522.
    • (2010) SIAM J. Financial Math , vol.1 , pp. 490-522
    • Alfonsi, A.1    Schied, A.2
  • 5
    • 84872545368 scopus 로고    scopus 로고
    • Order book resilience, price manipulation, and the positive portfolio problem
    • A. Alfonsi, A. Schied, and A. Slynko, Order book resilience, price manipulation, and the positive portfolio problem, SIAM J. Financial Math., 3 (2012), pp. 511-533.
    • (2012) SIAM J. Financial Math , vol.3 , pp. 511-533
    • Alfonsi, A.1    Schied, A.2    Slynko, A.3
  • 7
    • 51249193164 scopus 로고
    • On the theory of potentials in locally compact spaces
    • B. Fuglede, On the theory of potentials in locally compact spaces, Acta Math., 103 (1960), pp. 139-215.
    • (1960) Acta Math , vol.103 , pp. 139-215
    • Fuglede, B.1
  • 8
    • 77955616589 scopus 로고    scopus 로고
    • No-dynamic-arbitrage and market impact
    • J. Gatheral, No-dynamic-arbitrage and market impact, Quant. Finance, 10 (2010), pp. 749- 759.
    • (2010) Quant. Finance , vol.10 , pp. 749-759
    • Gatheral, J.1
  • 9
    • 84879648411 scopus 로고    scopus 로고
    • Dynamical models of market impact and algorithms for order execution
    • J.-P. Fouque and J. Langsam, eds., Cambridge University Press, Cambridge, UK
    • J. Gatheral and A. Schied, Dynamical models of market impact and algorithms for order execution, in Handbook on Systemic Risk, J.-P. Fouque and J. Langsam, eds., Cambridge University Press, Cambridge, UK, 2013, pp. 579-602.
    • (2013) Handbook on Systemic Risk , pp. 579-602
    • Gatheral, J.1    Schied, A.2
  • 10
    • 84874559372 scopus 로고    scopus 로고
    • Exponential resilience and decay of market impact
    • F. Abergel, B. K. Chakrabarti, A. Chakraborti, and M. Mitra, eds. Springer-Verlag, Berlin
    • J. Gatheral, A. Schied, and A. Slynko, Exponential resilience and decay of market impact, in Econophysics of Order-Driven Markets, F. Abergel, B. K. Chakrabarti, A. Chakraborti, and M. Mitra, eds., Springer-Verlag, Berlin, 2011, pp. 225-236.
    • (2011) Econophysics of Order-Driven Markets , pp. 225-236
    • Gatheral, J.1    Schied, A.2    Slynko, A.3
  • 11
    • 84862011216 scopus 로고    scopus 로고
    • Transient linear price impact and Fredholm integral equations
    • J. Gatheral, A. Schied, and A. Slynko, Transient linear price impact and Fredholm integral equations, Math. Finance, 22 (2012), pp. 445-474.
    • (2012) Math. Finance , vol.22 , pp. 445-474
    • Gatheral, J.1    Schied, A.2    Slynko, A.3
  • 12
    • 84855725062 scopus 로고    scopus 로고
    • Universitext Springer Verlag, London
    • L. L. Helms, Potential Theory, Universitext, Springer-Verlag, London, 2009.
    • (2009) Potential Theory
    • Helms, L.L.1
  • 13
    • 0003230949 scopus 로고
    • Functional analysis and semi-groups
    • American Mathematical Society, Providence, RI
    • E. Hille and R. S. Phillips, Functional Analysis and Semi-groups, Amer.Math. Soc. Colloq. Publ. 31, American Mathematical Society, Providence, RI, 1957.
    • (1957) Amer.Math. Soc. Colloq. Publ , vol.31
    • Hille, E.1    Phillips, R.S.2
  • 15
    • 84968515126 scopus 로고
    • On the matrix Riccati equation
    • J. J. Levin, On the matrix Riccati equation, Proc. Amer. Math. Soc., 10 (1959), pp. 519-524.
    • (1959) Proc. Amer. Math. Soc , vol.10 , pp. 519-524
    • Levin, J.J.1
  • 16
    • 0003230865 scopus 로고
    • Analytical and numerical methods for volterra equations
    • SIAM, Philadelphia
    • P. Linz, Analytical and Numerical Methods for Volterra Equations, SIAM Stud. Appl. Math. 7, SIAM, Philadelphia, 1985.
    • (1985) SIAM Stud. Appl. Math , vol.7
    • Linz, P.1
  • 18
    • 84872159809 scopus 로고    scopus 로고
    • Optimal trading strategy and supply/demand dynamics
    • A. Obizhaeva and J.Wang, Optimal trading strategy and supply/demand dynamics, J. Financ. Market, 16 (2013), pp. 1-32.
    • (2013) J. Financ. Market , vol.16 , pp. 1-32
    • Obizhaeva, A.1    Wang, J.2
  • 19
    • 84868245353 scopus 로고    scopus 로고
    • Optimal execution in a general one-sided limitorder book
    • S. Predoiu, G. Shaikhet, and S. Shreve, Optimal execution in a general one-sided limitorder book, SIAM J. Financial Math., 2 (2011), pp. 183-212.
    • (2011) SIAM J. Financial Math , vol.2 , pp. 183-212
    • Predoiu, S.1    Shaikhet, G.2    Shreve, S.3
  • 20
    • 84865518390 scopus 로고    scopus 로고
    • Some mathematical aspects of market impact modeling
    • J. Blath, P. Imkeller, and S. Roelly, eds., European Mathematical Society, Zürich
    • A. Schied and A. Slynko, Some mathematical aspects of market impact modeling, in Proceedings of the 33rd SPA in Surveys in Stochastic Processes, EMS Ser. Congr. Rep., J. Blath, P. Imkeller, and S. Roelly, eds., European Mathematical Society, Zürich, 2011, pp. 153-179.
    • (2011) Proceedings of the 33rd SPA in Surveys in Stochastic Processes, EMS Ser. Congr. Rep , pp. 153-179
    • Schied, A.1    Slynko, A.2
  • 21
    • 18244386973 scopus 로고    scopus 로고
    • Strong solutions for differential equations in abstract spaces
    • E. V. Teixeira, Strong solutions for differential equations in abstract spaces, J. Differential Equations, 214 (2005), pp. 65-91.
    • (2005) J. Differential Equations , vol.214 , pp. 65-91
    • Teixeira, E.V.1
  • 22
    • 79551648602 scopus 로고
    • The laplace transform princeton
    • Princeton University Press, Princeton, NJ
    • D. V. Widder, The Laplace Transform, Princeton Math. Ser. 6, Princeton University Press, Princeton, NJ, 1941.
    • (1941) Math. ser , vol.6
    • Widder, D.V.1


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