Pith Number

pith:XVJWC2JH

pith:2026:XVJWC2JH7DKBAGF3JJZH2BR4LU

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Emergence of information interference in stochastic systems with non-diagonal noise and switching environments

Andrea Marchetti, Daniel Maria Busiello, Giorgio Nicoletti

Stochastic systems with non-diagonal noise and switching environments develop non-additive mutual information.

arxiv:2605.13556 v1 · 2026-05-13 · cond-mat.stat-mech

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Claims

C1strongest claim

We identify two distinct sources of information interference: a static term, arising from the simultaneous presence of deterministic coupling and noise anisotropy; and a dynamic term, emerging from the interplay between internal processes and environmental switches.

C2weakest assumption

The analysis is restricted to linearized stochastic systems with specific forms of non-diagonal noise and stochastic switching, which may not capture strongly nonlinear behavior or other forms of environmental variability in real systems.

C3one line summary

In stochastic systems with non-diagonal noise and switching environments, mutual information includes irreducible static and dynamic interference terms that prevent simple decomposition.

References

81 extracted · 81 resolved · 1 Pith anchors

[1] (15) for the limit case of a slowly switching environment (τjumps ≫τ)

[2] Fast-jump limit Here, we briefly comment on the other limit case of a fast switching environment (τjumps ≪τ), where the stochas- tic variables effectively experience the environment as averaged over i

[3] (see Figure 2b). Similarly to what done in the previous section, we decompose the force coupling matrix and the mobil- ity matrix into their diagonal and non-diagonal parts, ˆK= ˆKd + ˆKnd and ˆµ= ˆµd

[4] A. Hilfinger and J. Paulsson, Separating intrinsic from extrinsic fluctuations in dynamic biological systems, Pro- ceedings of the National Academy of Sciences108, 12167 (2011) 2011

[5] P. Thomas, N. Popovi´ c, and R. Grima, Phenotypic switching in gene regulatory networks, Proceedings of the National Academy of Sciences111, 6994 (2014) 2014

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First computed	2026-05-18T02:44:23.583453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd53616927f8d41018bb4a727d063c5d1569d4cacfff329bcf71a2908600fccb

Aliases

arxiv: 2605.13556 · arxiv_version: 2605.13556v1 · doi: 10.48550/arxiv.2605.13556 · pith_short_12: XVJWC2JH7DKB · pith_short_16: XVJWC2JH7DKBAGF3 · pith_short_8: XVJWC2JH

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XVJWC2JH7DKBAGF3JJZH2BR4LU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bd53616927f8d41018bb4a727d063c5d1569d4cacfff329bcf71a2908600fccb

Canonical record JSON

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    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-13T13:59:33Z",
    "title_canon_sha256": "61cf86d045f1d714f1a4a29b6ab451aa5e37806104a1ff740ec0cfbcc9cfc203"
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