Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T15:12:27.036119Z
Paper Citation Record · LEDGER
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes
As of 22 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:1908.02281.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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Source: cited_works
Reference resolution
42 of 42 outbound references displayed
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7fec0c86-b789-4544-88ed-8edeeebdafb9 · outbound
This paper cites Aaronson, An introduction to infinite ergodic theory.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Aaronson, An introduction to infinite ergodic theory
Reference 1
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- raw_fallback, observed 2026-08-14T15:12:27.705777Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1407b992-b474-4ba9-b610-e0a745ecb6b1 · outbound
This paper cites On the homogeneous ergodic bilinear averages with M\"{o}bius and liouville weights.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes On the homogeneous ergodic bilinear averages with M\"{o}bius and liouville weights
Reference 2
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- local_arxiv, observed 2026-08-14T15:12:27.102632Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 92e6ba18-0684-4c6a-bcee-bf16c3fcbd80 · outbound
This paper cites Beckner, Inequalities in Fourier analysis, Annals of Mathematic s, Second Series, 102 (1): 159-182.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Beckner, Inequalities in Fourier analysis, Annals of Mathematic s, Second Series, 102 (1): 159-182
Reference 3
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- raw_fallback, observed 2026-08-14T15:12:27.692944Z
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation bdb45e49-dacf-48dd-8a47-6a7ea852a5db · outbound
This paper cites Bellow, Transference principles in ergodic theory, Harmonic An alysis and Partial Differential Equations, edited by Michael Christ, Carlos E.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Bellow, Transference principles in ergodic theory, Harmonic An alysis and Partial Differential Equations, edited by Michael Christ, Carlos E
Reference 4
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- raw_fallback, observed 2026-08-14T15:12:27.678969Z
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 90d7cf2b-b965-4b6b-9260-08b57d67c2bc · outbound
This paper cites Bourgain, On the maximal ergodic theorem for certain subset s of the integers, Israel Journal of Mathematics, Vol.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Bourgain, On the maximal ergodic theorem for certain subset s of the integers, Israel Journal of Mathematics, Vol
Reference 5
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- raw_fallback, observed 2026-08-14T15:12:27.663889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 17058562-8cf8-4fa2-b46a-f4269d30a22e · outbound
This paper cites Bourgain, On the pointwise ergodic theorem on Lp for arithmetic sets, Israel Journal of Mathematics, Vol.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Bourgain, On the pointwise ergodic theorem on Lp for arithmetic sets, Israel Journal of Mathematics, Vol
Reference 6
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- raw_fallback, observed 2026-08-14T15:12:27.649911Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a36dafcb-06e6-4f09-b22e-41cc13b7d716 · outbound
This paper cites Bourgain, An approach to pointwise ergodic theorems, Spring er L.N.M., Vol.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Bourgain, An approach to pointwise ergodic theorems, Spring er L.N.M., Vol
Reference 7
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- raw_fallback, observed 2026-08-14T15:12:27.636324Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8ee23a1e-74da-483c-bfc7-d01dae76934a · outbound
This paper cites Bourgain, Pointwise ergodic theorems on arithmetic sets, with an appen- dix on return time sequences (jointly with H.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Bourgain, Pointwise ergodic theorems on arithmetic sets, with an appen- dix on return time sequences (jointly with H
Reference 8
- Resolution
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- raw_fallback, observed 2026-08-14T15:12:27.623076Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1d3018ef-cfd3-44f8-862f-31188b6c2f8f · outbound
This paper cites Bourgain, Double recurrence and almost sure convergence, J.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Bourgain, Double recurrence and almost sure convergence, J
Reference 9
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- raw_fallback, observed 2026-08-14T15:12:27.609104Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation df598c20-1c06-40d9-929b-56898a1a61f7 · outbound
This paper cites an unresolved cited work.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Unresolved cited work
Reference 10
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- raw_fallback, observed 2026-08-14T15:12:27.592960Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 33641877-7b30-4cae-a9fc-1b57e3011e90 · outbound
This paper cites Carleson, On convergence and growth of partial sums of Fo urier series, Acta Math.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Carleson, On convergence and growth of partial sums of Fo urier series, Acta Math
Reference 11
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e015392c-7e01-494d-a369-3d6d1e2a869f · outbound
This paper cites Ergodic theorems with arithmetical weights.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Ergodic theorems with arithmetical weights
Reference 12
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- local_arxiv, observed 2026-08-14T15:12:27.079422Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation dfd78a04-ff2d-4f24-b43d-54ad1599c665 · outbound
This paper cites Demeter, Pointwise convergence of the ergodic bilinear Hilber t transform, Illinois J.Math.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Demeter, Pointwise convergence of the ergodic bilinear Hilber t transform, Illinois J.Math
Reference 13
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 462b0caa-8ac2-40e0-9863-30c176d35962 · outbound
This paper cites Demeter, T.
Reference 14
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Observation c9e26daa-c665-49a2-944c-22d1ece517e1 · outbound
This paper cites Etemadi, An elementary proof of the strong law of large numb ers.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Etemadi, An elementary proof of the strong law of large numb ers
Reference 15
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 21f9396b-2fd4-4a77-a60f-29ef15f2b819 · outbound
This paper cites Furstenberg, Recurrence in ergodic theory and combinato rial number theory, M.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Furstenberg, Recurrence in ergodic theory and combinato rial number theory, M
Reference 16
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f924513d-b42c-40c3-ad71-a235d183e159 · outbound
This paper cites an unresolved cited work.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Unresolved cited work
Reference 17
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 09b0f06a-17ec-456e-a79e-2404bce95d46 · outbound
This paper cites an unresolved cited work.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Unresolved cited work
Reference 18
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ea0b0149-e5f1-4b8d-aa84-9aed86f6f17a · outbound
This paper cites Garcia, Topics in almost everywhere convergence , Markham Publishing Company, Chicago, 1970.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Garcia, Topics in almost everywhere convergence , Markham Publishing Company, Chicago, 1970
Reference 19
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 158a18bb-313b-4f57-a7db-ecd96d0bfd7b · outbound
This paper cites Grafakos, Modern Fourier analysis, Third edition.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Grafakos, Modern Fourier analysis, Third edition
Reference 20
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 549a6638-9b61-4d5b-9d75-da6c64a8ce0d · outbound
This paper cites Grafakos, T.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Grafakos, T
Reference 21
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c45b3683-a849-4161-bbd2-4d4979908f49 · outbound
This paper cites an unresolved cited work.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Unresolved cited work
Reference 22
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Observation 0a9d7f9b-6dce-4ac7-b01b-535c375b5413 · outbound
This paper cites an unresolved cited work.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Unresolved cited work
Reference 23
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c475f3a2-2509-44ba-ac3d-c526c2b9c260 · outbound
This paper cites an unresolved cited work.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Unresolved cited work
Reference 24
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2eb653b6-d8b6-4d02-9a1e-6c7756960746 · outbound
This paper cites an unresolved cited work.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Unresolved cited work
Reference 25
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 713b3e67-8fbe-499f-a59b-167d811fc366 · outbound
This paper cites Jones, Z.
Reference 26
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Observation 9eb71ae5-8a08-4b06-ac6a-ec7cd8d906fc · outbound
This paper cites Katznelson and B.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Katznelson and B
Reference 27
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Observation c9cc41e5-08c2-4114-884a-d8ce7797090a · outbound
This paper cites Keane, K.
Reference 28
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Observation 9359f565-7128-4680-ad93-6e07f0e45a0f · outbound
This paper cites Lacey and C.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Lacey and C
Reference 29
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Observation db5f4c53-d084-4290-b037-e25af02d6b7f · outbound
This paper cites Mirek and B.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Mirek and B
Reference 30
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Observation a67ab275-9d3c-4974-8373-0815412a4d71 · outbound
This paper cites an unresolved cited work.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Unresolved cited work
Reference 31
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Observation 7846065d-f89d-4814-b378-057f7fb4ffa7 · outbound
This paper cites an unresolved cited work.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Unresolved cited work
Reference 32
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Observation 295e9fdd-0126-4084-8cab-ffdb3ca228d9 · outbound
This paper cites Nair, On polynomials in primes and J.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Nair, On polynomials in primes and J
Reference 33
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 763165fb-3a7f-498e-ab31-554b56f66bc7 · outbound
This paper cites Parry, Topics in ergodic theory, Reprint of the 1981 original.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Parry, Topics in ergodic theory, Reprint of the 1981 original
Reference 34
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Observation bd1686e3-3f19-4cb3-a4e4-ea28a6b9c686 · outbound
This paper cites Riesz, Sur un Th´ eor` eme de maximum de Mm.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Riesz, Sur un Th´ eor` eme de maximum de Mm
Reference 35
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- raw_fallback, observed 2026-08-14T15:12:27.226253Z
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c17ce1e7-f7c5-4097-9197-3024c9afba0a · outbound
This paper cites Simon, Harmonic analysis.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Simon, Harmonic analysis
Reference 36
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- raw_fallback, observed 2026-08-14T15:12:27.208966Z
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c02dab81-c265-4493-97d2-d07c95b54e8f · outbound
This paper cites Thouvenot, La convergence presque sˆ ure des moyennes ergodiques suiv- ant certaines sous-suites d’entiers (d’apr` es Jean Bourgain).
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Thouvenot, La convergence presque sˆ ure des moyennes ergodiques suiv- ant certaines sous-suites d’entiers (d’apr` es Jean Bourgain)
Reference 37
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Observation 0e8910b6-fa15-42f3-bfd6-6e948723d1e1 · outbound
This paper cites Weber, Dynamical Systems and Processes, European Mathematical So- ciety Publishing House, IRMA Lectures in Mathematics and Theoretic al Physics 14, 2009.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Weber, Dynamical Systems and Processes, European Mathematical So- ciety Publishing House, IRMA Lectures in Mathematics and Theoretic al Physics 14, 2009
Reference 38
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- raw_fallback, observed 2026-08-14T15:12:27.181687Z
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation dadf1c2a-f687-44a6-b325-b1b13b61515c · outbound
This paper cites Wiener, The Fourier integral and certain of its applications, Dover publi- cations, (1958).
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Wiener, The Fourier integral and certain of its applications, Dover publi- cations, (1958)
Reference 39
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- raw_fallback, observed 2026-08-14T15:12:27.166934Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c5a9cc2e-da71-424d-adaf-5cd74f42c449 · outbound
This paper cites Wierdl, Pointwise ergodic theorem along the prime numbers.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Wierdl, Pointwise ergodic theorem along the prime numbers
Reference 40
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- raw_fallback, observed 2026-08-14T15:12:27.152862Z
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 34234c8e-730c-4bec-8ec4-5707fb92e779 · outbound
This paper cites Williams, Probability with martingales, Cambridge Mathematical Text- books.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Williams, Probability with martingales, Cambridge Mathematical Text- books
Reference 41
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 703621df-2934-4956-bc0a-5f6301b7c43d · outbound
This paper cites Zygmund, Trigonometric series vol.
Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes Zygmund, Trigonometric series vol
Reference 42
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- raw_fallback, observed 2026-08-14T15:12:27.120925Z
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
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