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Paper Citation Record · LEDGER

Zariski density of discrete subgroups via critical exponents and unitary representations

As of 16 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2608.04966.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2608.04966 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T13:01:24.082538Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

30 of 30 outbound references displayed

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External citation measurements

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Outbound references

Observation f21c368c-94a2-48f5-92ac-18eaf6704524 · outbound

This paper cites On the growth ofL2-invariants for sequences of lattices in Lie groups,.

Zariski density of discrete subgroups via critical exponents and unitary representations On the growth ofL2-invariants for sequences of lattices in Lie groups,

Reference 1

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Observation 3939f890-e354-476f-9098-4bbae88a8b27 · outbound

This paper cites Bekka, P.

Zariski density of discrete subgroups via critical exponents and unitary representations Bekka, P

Reference 2

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Observation 532162a6-f7f0-460d-8ba8-68655a8d8a2b · outbound

This paper cites Propriétés asymptotiques des groups linéaires,.

Zariski density of discrete subgroups via critical exponents and unitary representations Propriétés asymptotiques des groups linéaires,

Reference 3

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Observation d425aa7b-d267-4761-830d-1fd54520854e · outbound

This paper cites Geometry of homogeneous spaces,.

Zariski density of discrete subgroups via critical exponents and unitary representations Geometry of homogeneous spaces,

Reference 4

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Observation 29a3a70f-217b-47fc-95ab-80f0e4c26bdd · outbound

This paper cites Tempered of reductive homogeneous spaces,.

Zariski density of discrete subgroups via critical exponents and unitary representations Tempered of reductive homogeneous spaces,

Reference 5

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Observation b89572e1-83f0-4f97-8310-24dc0347f780 · outbound

This paper cites Tempered homogeneous spaces II,.

Zariski density of discrete subgroups via critical exponents and unitary representations Tempered homogeneous spaces II,

Reference 6

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Observation ed0d75fd-525e-46eb-b6f4-1ed8cd64cd60 · outbound

This paper cites Tempered homogeneous spaces III,.

Zariski density of discrete subgroups via critical exponents and unitary representations Tempered homogeneous spaces III,

Reference 7

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source=pdf_text observed=2026-08-06T13:01:24.026780Z digest=sha256:bf9b781d62622bf46e4932a93f6c5aeb8c97da5300a78b722f00770859a43406

Observation 38adc6a6-8f5d-4366-80ee-60cfb8740183 · outbound

This paper cites Tempered homogeneous spaces IV,.

Zariski density of discrete subgroups via critical exponents and unitary representations Tempered homogeneous spaces IV,

Reference 8

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Observation d5764d55-a907-4439-a156-21de9f5392fb · outbound

This paper cites On the rate of exponential decay of coefficients on homogeneous spaces,.

Zariski density of discrete subgroups via critical exponents and unitary representations On the rate of exponential decay of coefficients on homogeneous spaces,

Reference 9

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Observation 78fe6cb0-7c5f-4bb3-bb29-92bdf2c3a7a3 · outbound

This paper cites Density properties for certain subgroups of semi-simple groups without compact components,.

Zariski density of discrete subgroups via critical exponents and unitary representations Density properties for certain subgroups of semi-simple groups without compact components,

Reference 10

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Observation 4d71781b-424c-4828-be30-b9cb0ece7295 · outbound

This paper cites Hausdorff dimensions of limit sets I.

Zariski density of discrete subgroups via critical exponents and unitary representations Hausdorff dimensions of limit sets I

Reference 11

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Observation b3b09de6-d321-4ee7-a95c-0ab4e303e57d · outbound

This paper cites AlmostL2 matrix coefficients,.

Zariski density of discrete subgroups via critical exponents and unitary representations AlmostL2 matrix coefficients,

Reference 12

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Observation a8208763-63a1-4d30-bfc0-7a60dca340cd · outbound

This paper cites Complex hyperbolic Kleinian groups of large critical exponents,.

Zariski density of discrete subgroups via critical exponents and unitary representations Complex hyperbolic Kleinian groups of large critical exponents,

Reference 13

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Observation cc7c9a6b-e629-4e98-91d7-6cb856ec7915 · outbound

This paper cites Effective equidistribution for closed orbits of semisimple groups on homogenous spaces,.

Zariski density of discrete subgroups via critical exponents and unitary representations Effective equidistribution for closed orbits of semisimple groups on homogenous spaces,

Reference 14

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Observation 33157f91-c4f3-40bc-835e-326e6a843f61 · outbound

This paper cites Infinite volume and infinite injectivity radius,.

Zariski density of discrete subgroups via critical exponents and unitary representations Infinite volume and infinite injectivity radius,

Reference 15

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Observation c89a8d6e-8849-4afa-bd9d-00cfbc921a6e · outbound

This paper cites Benjamini–Schramm convergence of arithmetic locally symmetric spaces,.

Zariski density of discrete subgroups via critical exponents and unitary representations Benjamini–Schramm convergence of arithmetic locally symmetric spaces,

Reference 16

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Observation b410d730-0ea2-4b8c-bd21-c6c6befad083 · outbound

This paper cites Topological complexity of arithmetic locally symmetric spaces,.

Zariski density of discrete subgroups via critical exponents and unitary representations Topological complexity of arithmetic locally symmetric spaces,

Reference 17

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Observation e6c4251d-8f25-4737-8ff3-44f6e33b4c0e · outbound

This paper cites Poisson-Voronoi tessellations and fixed price in higher rank.

Zariski density of discrete subgroups via critical exponents and unitary representations Poisson-Voronoi tessellations and fixed price in higher rank

Reference 18

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T13:01:24.054043Z digest=sha256:4714b42623c7bcbfb736f7fb583e833c7aa7384a18e3ff05d67153cde1238c11

Observation bc9eb111-90bc-4ee7-9884-1addb4171fee · outbound

This paper cites Humphreys,Linear algebraic groups, volume 21 ofGrad.

Zariski density of discrete subgroups via critical exponents and unitary representations Humphreys,Linear algebraic groups, volume 21 ofGrad

Reference 19

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source=pdf_text observed=2026-08-06T13:01:24.056699Z digest=sha256:738ae3550439e6d985950a0f200cc46cf98eec3f514de29b3c844239c3ab3ba9

Observation 90e916e8-b21e-4ddf-a93d-c0583c1f4a52 · outbound

This paper cites Knapp,Lie Groups Beyond an Introduction,Progress in Mathematics,Birkhäuser Boston Inc., (1996).

Zariski density of discrete subgroups via critical exponents and unitary representations Knapp,Lie Groups Beyond an Introduction,Progress in Mathematics,Birkhäuser Boston Inc., (1996)

Reference 20

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Observation 90047540-6f8c-4931-85b4-ce15eadcea76 · outbound

This paper cites Knapp,Representation theory of semisimple groups: An overview based on examples, volume 36 ofPrinceton.

Zariski density of discrete subgroups via critical exponents and unitary representations Knapp,Representation theory of semisimple groups: An overview based on examples, volume 36 ofPrinceton

Reference 21

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Observation 518ae4d0-3111-4ccd-8092-9cdd2a82e488 · outbound

This paper cites Kazhdan’sproperty(T),L 2-spectrum, andisoperimetricinequalitiesforlocally symmetric spaces,.

Zariski density of discrete subgroups via critical exponents and unitary representations Kazhdan’sproperty(T),L 2-spectrum, andisoperimetricinequalitiesforlocally symmetric spaces,

Reference 22

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Observation e9cde7ce-2b1f-4e90-822f-59b60c3ee942 · outbound

This paper cites Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces.

Zariski density of discrete subgroups via critical exponents and unitary representations Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces

Reference 23

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source=pdf_text observed=2026-08-06T13:01:24.065890Z digest=sha256:59a4f81b2e13fa9fa95828cdc52c0b15ba90146bda141ea7ad9c1b1830845375

Observation 4c3dab4a-8633-467c-8bc0-cda459d58321 · outbound

This paper cites Margulis,Discrete subgroups of semisimple Lie groups, volume 17 ofErgebnisse der Mathematik und ihrer Grenzgebiete,Springer-Verlag,Berlin, (1991).

Zariski density of discrete subgroups via critical exponents and unitary representations Margulis,Discrete subgroups of semisimple Lie groups, volume 17 ofErgebnisse der Mathematik und ihrer Grenzgebiete,Springer-Verlag,Berlin, (1991)

Reference 24

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Observation c5e4c667-a85c-4762-b233-ef880675dc1d · outbound

This paper cites Exponential decay of correlation coefficients for geodesic flows,.

Zariski density of discrete subgroups via critical exponents and unitary representations Exponential decay of correlation coefficients for geodesic flows,

Reference 25

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source=pdf_text observed=2026-08-06T13:01:24.070805Z digest=sha256:8ffbde96542d7a93d0511e8f5453a37bece8a48ed2e40be07f7cf2fadb23db1b

Observation eb6afe45-3e84-4da0-b0f4-dccebdd5e8ea · outbound

This paper cites Divergence exponentielle des sous-groupes discrets en rang supérieur,.

Zariski density of discrete subgroups via critical exponents and unitary representations Divergence exponentielle des sous-groupes discrets en rang supérieur,

Reference 26

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Observation 283ded08-5d81-4524-9698-b3bc4c10dc67 · outbound

This paper cites Propriété de Kazhdan et sous-groupes discrets de covolume infini,.

Zariski density of discrete subgroups via critical exponents and unitary representations Propriété de Kazhdan et sous-groupes discrets de covolume infini,

Reference 27

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source=pdf_text observed=2026-08-06T13:01:24.075362Z digest=sha256:92a4ec0706bbbbfb8eaa400938512235e09269a7cae4bc014a8af4fc057b20ba

Observation 5877241f-eac9-4809-b692-6db167957fc4 · outbound

This paper cites Asymptotically large free semigroups in Zariski dense discrete subgroups of Lie groups,.

Zariski density of discrete subgroups via critical exponents and unitary representations Asymptotically large free semigroups in Zariski dense discrete subgroups of Lie groups,

Reference 28

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source=pdf_text observed=2026-08-06T13:01:24.077746Z digest=sha256:c2b40b216e79e38f63d02fe52fd19f8a10f14e71b04fcef353d7680387c7bc4e

Observation 5563379c-a0cc-4068-863d-eaadf3e23c55 · outbound

This paper cites ExoticC∗-algebras of geometric groups,.

Zariski density of discrete subgroups via critical exponents and unitary representations ExoticC∗-algebras of geometric groups,

Reference 29

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source=pdf_text observed=2026-08-06T13:01:24.080136Z digest=sha256:01efbf5e3a6fa9e3d0bdd90ebb0bba7611b3bdb4ceaf96aa665e6fbc57c8792c

Observation 3c2ed00f-b919-419f-8a47-344d2f533079 · outbound

This paper cites Zimmer,Ergodic theory and semisimple groups, volume 81 ofMonogr.

Zariski density of discrete subgroups via critical exponents and unitary representations Zimmer,Ergodic theory and semisimple groups, volume 81 ofMonogr

Reference 30

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