13 research outputs found
Rate of convergence of linear functions on the unitary group
- Author
- Publication venue
- 'IOP Publishing'
- Publication date
- 01/01/2011
- Field of study
We study the rate of convergence to a normal random variable of the real and
imaginary parts of Tr(AU), where U is an N x N random unitary matrix and A is a
deterministic complex matrix. We show that the rate of convergence is O(N^{-2 +
b}), with 0 <= b < 1, depending only on the asymptotic behaviour of the
singular values of A; for example, if the singular values are non-degenerate,
different from zero and O(1) as N -> infinity, then b=0. The proof uses a
Berry-Esse'en inequality for linear combinations of eigenvalues of random
unitary, matrices, and so appropriate for strongly dependent random variables.Comment: 34 pages, 1 figure; corrected typos, added remark 3.3, added 3
reference
Convergence of moments of twisted COE matrices
- Author
- Publication venue
- 'AIP Publishing'
- Publication date
- Field of study
Euclidean Distance Between Haar Orthogonal and Gaussian Matrices
- Author
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Measurable Functionals
- Author
- A Bouziad
- A Deaibes
- A Deaibes
- A DâAristotile
- A Grothendieck
- A Weil
- A. Deaibes
- A. Deaibes
- A. Deaibes
- A. Tortrat
- A.T.M. Lau
- A.T.M. Lau
- A.W. Hager
- AL Gibbs
- AW Hager
- AW Hager
- AW Hager
- AW Hager
- BH Neumann
- D Marxen
- D Sentilles
- D.A. RaÄkov
- E Caby
- E Caby
- E Caby
- E Glasner
- E Granirer
- E Hewitt
- E Äech
- EE Granirer
- F Riesz
- G. Choquet
- GA Edgar
- I CsiszĂĄr
- I Namioka
- J Aguayo-Garrido
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J.P.R. Christensen
- J.S. Pym
- J.S. Pym
- JF Berglund
- JR Isbell
- JR Isbell
- K Kuratowski
- L LeCam
- L Waelbroeck
- L.V. Kantorovich
- M. KatÄtov
- M. Neufang
- M. ZahradnĂk
- M.D. Rice
- MD Rice
- MD Rice
- MG Megrelishvili
- N Bourbaki
- N Dunford
- N Weaver
- NJ Kalton
- P Billingsley
- P Krée
- P LĂ©vy
- P Salmi
- PB Larson
- R Engelking
- R Handel van
- R Haydon
- R Pol
- R. Fortet
- R.M. Dudley
- RB Kirk
- RF Arens
- RF Wheeler
- RM Dudley
- S Ferri
- S. TomĂĄĆĄek
- SS Khurana
- SS Khurana
- SS Khurana
- ST Rachev
- ST Rachev
- T Budak
- T Jech
- V PtĂĄk
- V.P. Fedorova
- V.P. Fedorova
- V.S. Varadarajan
- VI Bogachev
- VM Zolotarev
- VP Fedorova
- VV Uspenskij
- W Roelcke
- Y Davydov
- Z FrolĂk
- Z FrolĂk
- Z FrolĂk
- Z. FrolĂk
- Ă. CsĂĄszĂĄr
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Uniform Measures
- Author
- A Bouziad
- A Deaibes
- A Deaibes
- A DâAristotile
- A Grothendieck
- A Weil
- A. Deaibes
- A. Deaibes
- A. Deaibes
- A. Tortrat
- A.T.M. Lau
- A.T.M. Lau
- A.W. Hager
- AL Gibbs
- AW Hager
- AW Hager
- AW Hager
- AW Hager
- BH Neumann
- D Marxen
- D Sentilles
- D.A. RaÄkov
- E Caby
- E Caby
- E Caby
- E Glasner
- E Granirer
- E Hewitt
- E Äech
- EE Granirer
- F Riesz
- G. Choquet
- GA Edgar
- I CsiszĂĄr
- I Namioka
- J Aguayo-Garrido
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J.P.R. Christensen
- J.S. Pym
- J.S. Pym
- JF Berglund
- JR Isbell
- JR Isbell
- K Kuratowski
- L LeCam
- L Waelbroeck
- L.V. Kantorovich
- M. KatÄtov
- M. Neufang
- M. ZahradnĂk
- M.D. Rice
- MD Rice
- MD Rice
- MG Megrelishvili
- N Bourbaki
- N Dunford
- N Weaver
- NJ Kalton
- P Billingsley
- P Krée
- P LĂ©vy
- P Salmi
- PB Larson
- R Engelking
- R Handel van
- R Haydon
- R Pol
- R. Fortet
- R.M. Dudley
- RB Kirk
- RF Arens
- RF Wheeler
- RM Dudley
- S Ferri
- S. TomĂĄĆĄek
- SS Khurana
- SS Khurana
- SS Khurana
- ST Rachev
- ST Rachev
- T Budak
- T Jech
- V PtĂĄk
- V.P. Fedorova
- V.P. Fedorova
- V.S. Varadarajan
- VI Bogachev
- VM Zolotarev
- VP Fedorova
- VV Uspenskij
- W Roelcke
- Y Davydov
- Z FrolĂk
- Z FrolĂk
- Z FrolĂk
- Z. FrolĂk
- Ă. CsĂĄszĂĄr
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Instances of Uniform Measures
- Author
- A Bouziad
- A Deaibes
- A Deaibes
- A DâAristotile
- A Grothendieck
- A Weil
- A. Deaibes
- A. Deaibes
- A. Deaibes
- A. Tortrat
- A.T.M. Lau
- A.T.M. Lau
- A.W. Hager
- AL Gibbs
- AW Hager
- AW Hager
- AW Hager
- AW Hager
- BH Neumann
- D Marxen
- D Sentilles
- D.A. RaÄkov
- E Caby
- E Caby
- E Caby
- E Glasner
- E Granirer
- E Hewitt
- E Äech
- EE Granirer
- F Riesz
- G. Choquet
- GA Edgar
- I CsiszĂĄr
- I Namioka
- J Aguayo-Garrido
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J.P.R. Christensen
- J.S. Pym
- J.S. Pym
- JF Berglund
- JR Isbell
- JR Isbell
- K Kuratowski
- L LeCam
- L Waelbroeck
- L.V. Kantorovich
- M. KatÄtov
- M. Neufang
- M. ZahradnĂk
- M.D. Rice
- MD Rice
- MD Rice
- MG Megrelishvili
- N Bourbaki
- N Dunford
- N Weaver
- NJ Kalton
- P Billingsley
- P Krée
- P LĂ©vy
- P Salmi
- PB Larson
- R Engelking
- R Handel van
- R Haydon
- R Pol
- R. Fortet
- R.M. Dudley
- RB Kirk
- RF Arens
- RF Wheeler
- RM Dudley
- S Ferri
- S. TomĂĄĆĄek
- SS Khurana
- SS Khurana
- SS Khurana
- ST Rachev
- ST Rachev
- T Budak
- T Jech
- V PtĂĄk
- V.P. Fedorova
- V.P. Fedorova
- V.S. Varadarajan
- VI Bogachev
- VM Zolotarev
- VP Fedorova
- VV Uspenskij
- W Roelcke
- Y Davydov
- Z FrolĂk
- Z FrolĂk
- Z FrolĂk
- Z. FrolĂk
- Ă. CsĂĄszĂĄr
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Prerequisites
- Author
- A. Bouziad
- A. Deaibes
- A. Deaibes
- A. Deaibes
- A. Deaibes
- A. Deaibes
- A. DâAristotile
- A. Grothendieck
- A. Tortrat
- A. Weil
- A.L. Gibbs
- A.T.M. Lau
- A.T.M. Lau
- A.W. Hager
- A.W. Hager
- A.W. Hager
- A.W. Hager
- A.W. Hager
- B.H. Neumann
- D. Marxen
- D. Sentilles
- D.A. RaÄkov
- E. Caby
- E. Caby
- E. Caby
- E. Glasner
- E. Granirer
- E. Hewitt
- E. Äech
- E.E. Granirer
- F. Riesz
- G. Choquet
- G.A. Edgar
- I. CsiszĂĄr
- I. Namioka
- J. Aguayo-Garrido
- J. Pachl
- J. Pachl
- J. Pachl
- J. Pachl
- J. Pachl
- J. Pachl
- J.F. Berglund
- J.P.R. Christensen
- J.R. Isbell
- J.R. Isbell
- J.S. Pym
- J.S. Pym
- K. Kuratowski
- L. LeCam
- L. Waelbroeck
- L.V. Kantorovich
- M. KatÄtov
- M. Neufang
- M. ZahradnĂk
- M.D. Rice
- M.D. Rice
- M.D. Rice
- M.G. Megrelishvili
- N. Bourbaki
- N. Dunford
- N. Weaver
- N.J. Kalton
- P. Billingsley
- P. Krée
- P. LĂ©vy
- P. Salmi
- P.B. Larson
- R. Engelking
- R. Fortet
- R. Handel van
- R. Haydon
- R. Pol
- R.B. Kirk
- R.F. Arens
- R.F. Wheeler
- R.M. Dudley
- R.M. Dudley
- S. Ferri
- S. TomĂĄĆĄek
- S.S. Khurana
- S.S. Khurana
- S.S. Khurana
- S.T. Rachev
- S.T. Rachev
- T. Budak
- T. Jech
- V. PtĂĄk
- V.I. Bogachev
- V.M. Zolotarev
- V.P. Fedorova
- V.P. Fedorova
- V.P. Fedorova
- V.S. Varadarajan
- V.V. Uspenskij
- W. Roelcke
- Y. Davydov
- Z. FrolĂk
- Z. FrolĂk
- Z. FrolĂk
- Z. FrolĂk
- Ă. CsĂĄszĂĄr
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Uniform Measures as Measures
- Author
- A Bouziad
- A Deaibes
- A Deaibes
- A DâAristotile
- A Grothendieck
- A Weil
- A. Deaibes
- A. Deaibes
- A. Deaibes
- A. Tortrat
- A.T.M. Lau
- A.T.M. Lau
- A.W. Hager
- AL Gibbs
- AW Hager
- AW Hager
- AW Hager
- AW Hager
- BH Neumann
- D Marxen
- D Sentilles
- D.A. RaÄkov
- E Caby
- E Caby
- E Caby
- E Glasner
- E Granirer
- E Hewitt
- E Äech
- EE Granirer
- F Riesz
- G. Choquet
- GA Edgar
- I CsiszĂĄr
- I Namioka
- J Aguayo-Garrido
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J.P.R. Christensen
- J.S. Pym
- J.S. Pym
- JF Berglund
- JR Isbell
- JR Isbell
- K Kuratowski
- L LeCam
- L Waelbroeck
- L.V. Kantorovich
- M. KatÄtov
- M. Neufang
- M. ZahradnĂk
- M.D. Rice
- MD Rice
- MD Rice
- MG Megrelishvili
- N Bourbaki
- N Dunford
- N Weaver
- NJ Kalton
- P Billingsley
- P Krée
- P LĂ©vy
- P Salmi
- PB Larson
- R Engelking
- R Handel van
- R Haydon
- R Pol
- R. Fortet
- R.M. Dudley
- RB Kirk
- RF Arens
- RF Wheeler
- RM Dudley
- S Ferri
- S. TomĂĄĆĄek
- SS Khurana
- SS Khurana
- SS Khurana
- ST Rachev
- ST Rachev
- T Budak
- T Jech
- V PtĂĄk
- V.P. Fedorova
- V.P. Fedorova
- V.S. Varadarajan
- VI Bogachev
- VM Zolotarev
- VP Fedorova
- VV Uspenskij
- W Roelcke
- Y Davydov
- Z FrolĂk
- Z FrolĂk
- Z FrolĂk
- Z. FrolĂk
- Ă. CsĂĄszĂĄr
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Direct Product and Convolution
- Author
- A Bouziad
- A Deaibes
- A Deaibes
- A DâAristotile
- A Grothendieck
- A Weil
- A. Deaibes
- A. Deaibes
- A. Deaibes
- A. Tortrat
- A.T.M. Lau
- A.T.M. Lau
- A.W. Hager
- AL Gibbs
- AW Hager
- AW Hager
- AW Hager
- AW Hager
- BH Neumann
- D Marxen
- D Sentilles
- D.A. RaÄkov
- E Caby
- E Caby
- E Caby
- E Glasner
- E Granirer
- E Hewitt
- E Äech
- EE Granirer
- F Riesz
- G. Choquet
- GA Edgar
- I CsiszĂĄr
- I Namioka
- J Aguayo-Garrido
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J.P.R. Christensen
- J.S. Pym
- J.S. Pym
- JF Berglund
- JR Isbell
- JR Isbell
- K Kuratowski
- L LeCam
- L Waelbroeck
- L.V. Kantorovich
- M. KatÄtov
- M. Neufang
- M. ZahradnĂk
- M.D. Rice
- MD Rice
- MD Rice
- MG Megrelishvili
- N Bourbaki
- N Dunford
- N Weaver
- NJ Kalton
- P Billingsley
- P Krée
- P LĂ©vy
- P Salmi
- PB Larson
- R Engelking
- R Handel van
- R Haydon
- R Pol
- R. Fortet
- R.M. Dudley
- RB Kirk
- RF Arens
- RF Wheeler
- RM Dudley
- S Ferri
- S. TomĂĄĆĄek
- SS Khurana
- SS Khurana
- SS Khurana
- ST Rachev
- ST Rachev
- T Budak
- T Jech
- V PtĂĄk
- V.P. Fedorova
- V.P. Fedorova
- V.S. Varadarajan
- VI Bogachev
- VM Zolotarev
- VP Fedorova
- VV Uspenskij
- W Roelcke
- Y Davydov
- Z FrolĂk
- Z FrolĂk
- Z FrolĂk
- Z. FrolĂk
- Ă. CsĂĄszĂĄr
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Some Notable Classes of Uniform Spaces
- Author
- A Bouziad
- A Deaibes
- A Deaibes
- A DâAristotile
- A Grothendieck
- A Weil
- A. Deaibes
- A. Deaibes
- A. Deaibes
- A. Tortrat
- A.T.M. Lau
- A.T.M. Lau
- A.W. Hager
- AL Gibbs
- AW Hager
- AW Hager
- AW Hager
- AW Hager
- BH Neumann
- D Marxen
- D Sentilles
- D.A. RaÄkov
- E Caby
- E Caby
- E Caby
- E Glasner
- E Granirer
- E Hewitt
- E Äech
- EE Granirer
- F Riesz
- G. Choquet
- GA Edgar
- I CsiszĂĄr
- I Namioka
- J Aguayo-Garrido
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J Pachl
- J.P.R. Christensen
- J.S. Pym
- J.S. Pym
- JF Berglund
- JR Isbell
- JR Isbell
- K Kuratowski
- L LeCam
- L Waelbroeck
- L.V. Kantorovich
- M. KatÄtov
- M. Neufang
- M. ZahradnĂk
- M.D. Rice
- MD Rice
- MD Rice
- MG Megrelishvili
- N Bourbaki
- N Dunford
- N Weaver
- NJ Kalton
- P Billingsley
- P Krée
- P LĂ©vy
- P Salmi
- PB Larson
- R Engelking
- R Handel van
- R Haydon
- R Pol
- R. Fortet
- R.M. Dudley
- RB Kirk
- RF Arens
- RF Wheeler
- RM Dudley
- S Ferri
- S. TomĂĄĆĄek
- SS Khurana
- SS Khurana
- SS Khurana
- ST Rachev
- ST Rachev
- T Budak
- T Jech
- V PtĂĄk
- V.P. Fedorova
- V.P. Fedorova
- V.S. Varadarajan
- VI Bogachev
- VM Zolotarev
- VP Fedorova
- VV Uspenskij
- W Roelcke
- Y Davydov
- Z FrolĂk
- Z FrolĂk
- Z FrolĂk
- Z. FrolĂk
- Ă. CsĂĄszĂĄr
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study